Publicaciones / Publications.
1995
1) J. D. Rossi - N. Wolanski. Blow-up
vs. global existence for a semilinear
reaction-diffusion system in a bounded domain. Communications
in Partial Differential Equations, 20 (11\&12), 1991-2004, (1995). Click
1997
2) J. D. Rossi.
The blow-up rate for a system of heat equations with nontrivial coupling at
the boundary. Mathematical Methods in the Applied Sciences, vol 20, 1-11, (1997). Click
3)
D. F. Rial - J. D. Rossi. Blow-up results and localization of
blow-up points in an n-dimensional smooth domain. Duke Mathematical Journal. Vol.
88 (2), 391-405, (1997). Click
4)
G. Acosta - J. D. Rossi. Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary
condition. Zeitschrift fur Angewandte Mathematik und Physik.Vol. 48, Nro. 5, 711-724,
(1997). Click
5)
J. D. Rossi. On existence and
nonexistence in the large for an N-dimensional system of heat equations with
nontrivial coupling at the boundary.
1998
6)
R. G. Duran - J. I. Etcheverry - J. D. Rossi.
Numerical approximations of a parabolic
problem with a nonlinear boundary condition. Discrete and Continuous
Dynamical Systems. Vol 4 (3), 497-506, (1998). Click
7)
J. D. Rossi - N. Wolanski.
Global existence and nonexistence for a parabolic system with nonlinear
boundary conditions. Differential and Integral Equations. Vol 11 (1), 179-190, (1998). Click
8)
J. D. Rossi. The blow up rate for a semilinear
parabolic equation with a nonlinear boundary condition. Acta Mathematica
Univ. Comenianae. Vol 67 (2), 343-350, (1998). Click
1999
9) D. F. Rial - J. D. Rossi. Localization of blow-up points for a parabolic
system with a nonlinear boundary condition. Rendiconti del Circolo Matematico di Palermo.
Serie II, Tomo XLVIII, 135-152, (1999). Click
10)
C. Cortazar - M. Elgueta
- J. D. Rossi. Uniqueness and Nonuniqueness
for a System of Heat Equations with nontrivial coupling at the boundary.
Nonlinear Analysis TM\&A.Vol. 37 (2), 257-267,
(1999). Click
11)
J. Fernández Bonder - J. P. Pinasco
- J. D. Rossi. Existence results for a Hamiltonian
elliptic system with nonlinear boundary conditions. Electron. J. Differential Equations, 40,
1-15, (1999). Click
2000
12) J. P. Pinasco -
J. D. Rossi. Simultaneous vs. non-simultaneous blow-up.
13)
G. Acosta - J. Fernández Bonder - J. D. Rossi. Stable manifold approximation for the heat
equation with nonlinear boundary conditions. J. Dynam.
Differential Equations, 12 (3), 557-578, (2000). Click
14)
J. Fernández Bonder - J. D. Rossi. Asymptotic behaviour
for a parabolic system with nonlinear boundary conditions. Collect. Math., 51
(3), 285-308, (2000). Click
2001
15)
J. Fernández Bonder - J. D. Rossi. Blow-up vs. spurious steady
solutions. Proc. Amer. Math. Soc., 129 (1), 139-144, (2001). Click
16)
J. Fernández Bonder - J. D. Rossi. Existence for an elliptic system
with nonlinear boundary conditions via fixed point methods. Advances
Differential Equations, 6 (1), 1-20, (2001). Click
17)
J. Fernández Bonder - J. P. Pinasco
- J. D. Rossi. Infinitely many solutions for an
elliptic system with nonlinear boundary conditions. Electron. J. Differential Equations,
Conf. 06, 2001, 141-154, (2001). Click
18)
F. Quiros - J. D. Rossi. Non
simultaneous blow-up in a semilinear parabolic
system. Zeitschrift fur Angewandte
Mathematik und Physik. Vol.
52 (2), 342-346, (2001). Click
19)
J. Fernández Bonder - J. D. Rossi. Life span for solutions of the
heat equations with a nonlinear boundary condition. Tsukuba J. Math. Vol.
25 (1), 215-220, (2001). Click
20)
J. Fernández Bonder - J. D. Rossi. Existence results for the p-Laplacian with nonlinear boundary conditions. J. Math.
Anal. Appl. Vol. 363(1), 195-223, (2001). Click
21) P. Groisman
- J. D. Rossi. Asymptotic behaviour for a numerical approximation of a parabolic
problem with blowing up solutions. Journal of Computational and Applied
Mathematics. Vol. 135, 135-155, (2001). Click
22) F. Quiros -
J. D. Rossi. Blow-up sets and Fujita type curves for a
degenerate parabolic system with nonlinear boundary conditions.
2002
23) A. de Pablo - F. Quiros
- J. D. Rossi. Asymptotic simplification for a reaction
diffusion problem with a nonlinear boundary condition.
IMA Jour. Appl. Math. Vol.
67, 69-98, (2002). Click
24) F. Andreu -
J. M. Mazon - J. Toledo - J. D. Rossi.
Porous medium equation with absorption and a nonlinear
boundary condition. Nonlinear Analysis TM&A. Vol. 49 (4),
541-563, (2002). Click
25)
J. Fernández Bonder - P. Groisman
- J. D. Rossi. On
numerical blow-up sets. Proc. Amer.
Math. Soc. Vol. 130, 2049-2055, (2002). Click
26)
G. Acosta - J. Fernández Bonder - P. Groisman - J. D. Rossi. Simultaneous vs. non-simultaneous blow-up
in numerical approximations of a parabolic system with nonlinear boundary
conditions. Mathematical Methods in Numerical Analysis. M2AN, Vol. 36 (1),
55-68, (2002). Click
27) G. Acosta - J. Fernández Bonder - P. Groisman -
J. D. Rossi. Numerical approximation of a parabolic problem with a
nonlinear boundary condition in several space dimensions. Dicrete and Continuous Dynamical Systems, Series B. Vol. 2
(2), 279-294, (2002). Click
28)
J. Fernández Bonder - J. D. Rossi. A fourth order elliptic equation
with nonlinear boundary conditions. Nonlinear Anal. TMA. Vol. 49 (8),
1037-1047, (2002). Click
29) C. Cortazar
- M. Elgueta - J. D. Rossi.
Short time behavior near the boundary for the heat
equation with a nonlinear boundary condition. Nonlinear
Analysis TM&A. Vol. 50, 205-213, (2002). Click
30) F. Quiros -
J. D. Rossi - J. L. Vazquez. Complete blow-up
and thermal avalanche for heat equations
with nonlinear boundary conditions. Communications in Partial Differential
Equations. Vol
27 (1&2), 395-424, (2002). Click
31)
A. de Pablo - F. Quiros - J. D. Rossi.
Non-simultaneous quenching. Applied Math. Letters. Vol. 15, 265-269,
(2002). Click
32) R. Ferreira – P. Groisman
– J. D. Rossi. Numerical blow-up for a nonlinear problem
with a nonlinear boundary condition. Mathematical
Models and Methods in the Applied Sciences. Vol. 12(4), 461-484, (2002). Click
33)
S.
34) J.
Fernandez Bonder – J. D. Rossi. A nonlinear eigenvalue
problem with indefinite weights related to the Sobolev
trace embedding. Publicacions Matematiques. Vol. 46, 221-235, (2002). Click
35) G. Acosta
– R. Duran – J. D. Rossi. An adaptive time step procedure for
a parabolic problem with blow-up. Computing. Vol. 68(4), 343-373, (2002). Click
36)
J. Fernández Bonder – J. D. Rossi. Asymptotic
behavior of the best Sobolev trace constant in
expanding and contracting domain. Comm. Pure Appl.
Anal. Vol. 1(3), 359-378, (2002). Click
37)
R. Ferreira - F. Quiros - J. D. Rossi. The balance between nonlinear
reaction and absorption at the boundary. Journal Differential Equations. Vol. 184,
259-282, (2002). Click
38)
P. Groisman – F. Quiros –
J. D. Rossi. Non-simultaneous
blow-up in a numerical approximation of a parabolic system. Computational and Applied Math.
Vol. 21 (3), 813-831, (2002). Click
2003
39)
S.
40) R. Ferreira - A. de Pablo - F. Quiros - J. D. Rossi. The blow-up profile for a fast diffusion
equation with a nonlinear boundary condition. Rocky Mountain Journal of Mathematics.
Vol. 33 (1), 123-146, (2003). Click
41)
P. Groisman – J. D. Rossi – H. Zaag.
On the
dependence of the blow-up time with respect to the initial data in a semilinear parabolic
problem. Communications
in Partial Differential Equations. Vol. 28 (3\&4), 737-744, (2003). Click
42)
R. Ferreira – P. Groisman – J. D. Rossi. An adaptive numerical scheme for a
parabolic problem with blow-up. IMA Journal of Numerical Analysis.
Vol. 23 (3), 439-463, (2003). Click
43)
F. Quiros – J. D. Rossi. Non-simultaneous blow-up in a
nonlinear parabolic system. Advanced Nonlinear Studies. Vol. 3(3), 397-418, (2003). Click
44)
J. Fernandez Bonder - R. Ferreira - J. D. Rossi. Uniform bounds for the best Sobolev trace constant. Advanced Nonlinear Studies. Vol. 3 (2), 181-192, (2003). Click
45) C. Cortazar
- M. Elgueta - J. D. Rossi. Uniqueness and non-uniqueness for the
porous medium equation with non linear boundary conditions. Differential and Integral Equations. Vol.
16, No. 10, 1215-1222, (2003). Click
46)
J.D. Rossi. Approximation
of the Sobolev trace constant. Divulgaciones Matematicas.
Vol. 11(2), 109-113, (2003). Click
2004
47)
R. Ferreira – P. Groisman –
J. D. Rossi. Numerical blow-up for the porous medium
equation with a source. Numerical Methods for Partial Differential
Equations. Vol 20 (4), 552-575, (2004). Click
48)
P. Groisman – J. D. Rossi. Dependence of the blow-up time with
respect to parameters and numerical approximations for a parabolic problem. Asymptotic Analysis. Vol. 37 (1), 79-91, (2004) . Click
49) R. Ferreira - A. de Pablo - F. Quiros - J. D. Rossi. Superfast quenching. Journal of Differential Equations. Vol. 199 (1), 189-209, (2004). Click
50) J. Garcia Azorero
- I. Peral - J. D. Rossi.
A convex-concave
problem with a nonlinear boundary condition. Journal of Differential Equations. Vol. 198
(1), 91-128, (2004). Click
51)
F. Quiros – J. D. Rossi. Blow-up sets for linear diffusion
equations in one dimension. Zeitschrift fur Angewandte Mathematik und Physik. Vol. 55 (2), 357-362, (2004). Click
52)
F. Quiros - J. D. Rossi - J. L. Vazquez. Thermal avalanche for blow-up
solutions of semilinear heat equations. Communications on Pure and Applied
Mathematics. Vol. LVII,
No. 1, 59-98, (2004). Click
53) J.
Fernandez Bonder - S. Martinez - J. D. Rossi. The behaviour of the
best Sobolev trace constant and extremals
in thin domains.
Journal of Differential Equations. Vol. 198 (1), 129-148, (2004). Click
54)
J. Fernández Bonder – E. Lami
Dozo – J. D. Rossi. Symmetry properties for the extremals
of the Sobolev trace embedding. Annales de l'Institut Henri Poincare. Analyse Non
Lineaire. Vol. 21 (6), 795-805, (2004). Click
55)
J. Garcia-Melian - J. D. Rossi. Boundary blow-up solutions to elliptic systems
of competitive type. Journal of
Differential Equations. Vol. 206 (1), 156-181, (2004). Click
56)
J. Davila - J. D. Rossi. Self-similar solutions of the porous medium equation in a half-space
with a nonlinear boundary condition. Existence and symmetry. Journal of
Mathematical Analysis and Applications. Vol. 296, 634-649, (2004). Click
57)
D. Arcoya - J. D. Rossi. Antimaximum principle for quasilinear
problems. Advances in Differential Equations.
Vol. 9 (9\&10), 1185-1200, (2004). Click
58)
C. Brandle - P. Groisman -
J. D. Rossi. Fully discrete adaptive methods for
a blow-up problem. Mathematical
Models and Methods in the Applied Sciences, M3AS. Vol. 14 (10), 1425-1450,
(2004). Click
59)
F. Andreu - J. M. Mazon -
J. D. Rossi. The
best constant for the Sobolev trace embedding from
$W^{1,1}(\Omega)$ into $L^1(\partial \Omega)$. Nonlinear Analysis
TM\&A. Vol. 59 (7), 1125-1145, (2004). Click
60)
S.
61)
M. Chaves - J. D. Rossi. Regularity results for the blow-up time as a function of the initial
data. Differential
and Integral Equations. Vol.
17 (11\&12), 1263-1271, (2004). Click
2005
62) J.
Fernandez Bonder – J. D. Rossi. On the existence of extremals
for the Sobolev trace embedding theorem with critical
exponent. Bulletin
of the
63) J.
D. Rossi - P. Souplet. Coexistence of simultaneous and
non-simultaneous blow-up in a semilinear parabolic
system. Differential and Integral Equations.
Vol. 18 (4), 405-418,
(2005). Click
64)
J.P. Pinasco – J.D.Rossi. Asymptotics of the spectral function for the Steklov problem in a family of sets with fractal
boundaries. Applied
Mathematics E-Notes. Vol. 5, 138-146, (2005). Click
65)
C. Cortazar - M. Elgueta -
J. D. Rossi. A non-local diffusion equation whose
solutions develop a free boundary. Annales Henri Poincaré. Vol 6(2), 269-281, (2005). Click
66)
C. Brandle - F. Quiros - J.
D. Rossi. Non-simultaneous
blow-up for a quasilinear parabolic system with
reaction at the boundary. Communications
on Pure and Applied Analysis. Vol 4(3), 523-536,
(2005). Click
67)
C. Brandle - F. Quiros - J.
D. Rossi. The
role of nonlinear diffusion in non-simultaneous blow-up. Journal of
Mathematical Analysis and Applications. Vol. 308(1), 92-104, (2005). Click
68)
R. Ferreira – A. de Pablo – F. Quiros – J. D. Rossi. On the quenching set for a fast
diffusion equation. Regional quenching. Proccedings of the Royal Society of Edimburgh. Vol. 135A, 585-601, (2005). Click
69) J.
Davila - J. Fernandez Bonder - P. Groisman
- J. D. Rossi - M. Sued. Numerical analysis of stochastic
differential equations with explosions. Stochastic Analysis and Applications. Vol. 23(4), 809-825, (2005). Click
70) J.
Fernandez Bonder - J. D. Rossi - N. Wolanski. Regularity of the free boundary in an
optimization problem related to the best Sobolev
trace constant.
71)
C. Brandle - F. Quiros - J.
D. Rossi. An adaptive numerical
method to handle blow-up in a parabolic system. Numerische Mathematik. Vol. 102(1), 39-59, (2005). Click
2006
72) J.
D. Rossi. An estimate for the blow-up time in
terms of the initial data. Volume in honor of Djairo de Figueiredo. Birkhauser. Progress
in Nonlinear Differential Equations and Their Applications. Vol. 66, 465-469, (2006). Click
73)
C. Brandle - F. Quiros - J.
D. Rossi. A complete classification of simultaneous
blow-up rates. Applied Mathematics Letters. Vol. 19(7), 607-611,
(2006). Click
74) J. Garcia-Azorero
- J. J. Manfredi -
75) R.
Ferreira - A. de Pablo - J. D. Rossi. Blow-up for a degenerate diffusion problem not in divergence form.
76)
R. Ferreira - A. de Pablo - F. Quiros - J. D. Rossi. Non-simultaneous quenching in a system of heat
equations coupled at the boundary. Zeitschrift fur Angewandte
Mathematik und Physik. Vol.
57(4), 586-594, (2006). Click
77) L. Del Pezzo
- J. Fernández Bonder - J. D. Rossi.
An optimization problem for the
first Steklov eigenvalue of
a nonlinear problem. Differential
and Integral Equations. Vol. 19(9), 1035-1046, (2006). Click
78) E. Chasseigne
- M. Chaves - J. D. Rossi. Asymptotic behavior for nonlocal
diffusion equations. Journal de Mathematiques
Pures et Appliquees. Vol.
86, 271-291, (2006). Click
79) J.
Fernandez Bonder - J. D. Rossi - N. Wolanski. Behavior of the best Sobolev
trace constant and extremals in domains with holes. Bulletin des Sciences Mathematiques. Vol. 130, 565-579, (2006). Click
2007
80) J. García-Azorero -
J. J. Manfredi - I. Peral - J.D.
Rossi. The Neumann problem for the $\infty$-Laplacian and the Monge-Kantorovich
mass transfer problem. Nonlinear Analysis TM&A.
Vol. 66(2), 349-366, (2007). Click
81)
J. Garcia-Melian - J. D. Rossi - J. Sabina. A bifurcation problem governed by
the boundary condition II. Proceedings of the London Mathematical Society. Vol. 94(1), 1-25,
(2007). Click
82) C. Cortazar
- M. Elgueta - J.D. Rossi - N. Wolanski. Boundary
fluxes for non-local diffusion. Journal of Differential Equations Vol. 234,
360-390, (2007). Click
83) J.
Fernandez Bonder - P. Groisman - J.D. Rossi. Optimization of the first Steklov eigenvalue in domains
with holes: a shape derivative approach. Annali di Matematica Pura ed Applicata. Vol. 186(2), 341-358, (2007). Click
84) J. Fernández
Bonder - R. Orive - J. D. Rossi. The best Sobolev trace constant in a domain
with oscillating boundary. Nonlinear Analysis TM&A. Vol.
67(4), 1173-1180, (2007). Click
85)
J. D. Rossi - M. Saez. Optimal regularity for the pseudo infinity Laplacian. ESAIM. Control, Optimisation and Calculus of Variations. Vol.
13(2), 294-304, (2007). Click
86) A. F. Pazoto
- J. D. Rossi. Asymptotic behaviour for a semilinear nonlocal equation. Asymptotic
Analysis. Vol. 52(1-2), 143-155, (2007). Click
87)
C. Cortazar - M. Elgueta -
J. D. Rossi. The blow-up problem for a semilinear parabolic equation with a potential. Journal of Mathematical Analysis and
Applications. Vol. 335, 418-427, (2007). Click
88) J. Garcia-Melian
- J. D. Rossi - J. Sabina. Semilinear problems perturbed through the boundary condition.. Proceedings of Equadiff
11, 2005, Bratislava, 427-435, (2007). Click
89) J.
Fernandez Bonder - S. Martinez - J. D. Rossi. Existence results for gradient elliptic systems
with nonlinear boundary conditions. Nonlinear Differential Equations and
Applications. NoDEA. Vol. 14(1-2), 153-179, (2007). Click
90) M.
Bogoya - R. Ferreira - J. D. Rossi. Neumann boundary conditions for a nonlocal nonlinear diffusion operator. continuous and
discrete models.
Proceedings of the American Mathematical Society. Vol. 135(12), 3837-3846,
(2007). Click
91) R. Ferreira - A. de Pablo - J.
D. Rossi. Blow-up with logarithmic nonlinearities. Journal of
Differential Equations. Vol. 240(1), 196-215, (2007). Click
92) L. I. Ignat
- J. D. Rossi. A nonlocal
convection-diffusion equation. Journal of Functional Analysis. Vol. 251(2), 399-437, (2007). Click
93) P. Groisman
- J. D. Rossi. Explosion time in stochastic differential
equations with small diffusion.. Electronic Journal of Differential
Equations. Vol. 2007(140), 1-9, (2007). Click
94) J. García-Melián
- J. D. Rossi - A. Suárez. The competition between incoming and outgoing fluxes in an elliptic
problem. Communications
in Contemporary Mathematics. Vol. 9(6), 781-810, (2007). Click
95) M. Pérez-Llanos
- J. D. Rossi. Nontrivial compact blow-up sets of
lower dimension in a half-space. Differential and Integral Equations. Vol. 20(11), 1211-1228, (2007). Click
96)
J. Garcia-Melian - J. D. Rossi - J. Sabina. A bifurcation problem governed by the boundary
condition I. Nonlinear Differential Equations and
Applications. NoDEA.
Vol. 14(5/6), 499--525, (2007). Click
97) J. Fernández
Bonder - R. Orive - J. D. Rossi. The best Sobolev trace constant in domains with
holes for critical or subcritical exponents. ANZIAM Journal. Vol. 49, 213--230, (2007). Click
2008
98) M. Bogoya
- R. Ferreira - J. D. Rossi. A nonlocal
nonlinear diffusion equation with blowing up boundary conditions. Journal of Mathematical Analysis
and Applications. Vol. 337(2), 1284-1294, (2008). Click
99) J. García-Melián
- J. D. Rossi - J. Sabina. Large solutions to the $p$-Laplacian for large~$p$. Calculus of Variations and Partial
Differential Equations. Vol. 31(2), 187-204, (2008). Click
100) C. Cortazar
- M. Elgueta - J. D. Rossi - N. Wolanski.
How to approximate the heat equation with
Neumann boundary conditions by nonlocal diffusion
problems. Archive
for Rational Mechanics and Analysis. Vol. 187(1), 137-156, (2008). Click
101)
M. Pérez-Llanos - J. D. Rossi. Nontrivial compact blow-up sets of smaller
dimension. Proceedings
of the American Mathematical Society. Vol. 136(2), 593-596, (2008). Click
102)
J. D. Rossi. First variations of
the best Sobolev trace constant with respect to the
domain. Canadian
Mathematical Bulletin. Vol. 51(1), 140-145, (2008). Click
103) F. Andreu
- J. M. Mazon - J. D. Rossi - J. Toledo. The Neumann problem for nonlocal nonlinear
diffusion equations.
Journal of Evolution Equations. Vol. 8(1), 189-215, (2008). Click
104) J. M. Arrieta
- A. Rodriguez-Bernal - J. D. Rossi. The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary. Proceedings of the Royal Society of Edinburgh.
Vol. 138A, 223-237, (2008). Click
105) D. G. de Figueiredo
- I. Peral - J. D. Rossi. The critical hyperbola for a Hamiltonian elliptic system with weights. Annali di Matematica Pura ed Applicata. Vol. 187, 531-545, (2008). Click
106) J. García-Melián -
C. Morales-Rodrigo - J. D. Rossi - A. Suárez. Nonnegative solutions
to an elliptic problem with nonlinear absorption and a nonlinear incoming flux
on the boundary. Annali di Matematica Pura ed Applicata. Vol. 187, 459-486,
(2008). Click
107) J. Garcia-Azorero – J. J. Manfredi – I.
Peral – J. D. Rossi. Limits for Monge-Kantorovich mass transport problems. Communications on Pure and Applied
Analysis. Vol. 7(4), 853-865, (2008).
Click
108) R. Ferreira - A. de Pablo - M. Pérez Llanos -
J. D. Rossi. Incomplete quenching
in a system of heat equations coupled at the boundary. Journal of Mathematical Analysis and
Applications. Vol. 346(1), 145-154, (2008).
Click
109) F. Andreu
- J. M. Mazon - J. D. Rossi - J. Toledo. A nonlocal
p-Laplacian evolution equation with Neumann boundary
conditions. Journal
de Mathematiques Pures et Appliquees. Vol. 90(2), 201-227, (2008). Click
110) J. Fernandez Bonder - J. D.
Rossi - C. B. Schönlieb. An optimization problem related to the best Sobolev
trace constant in thin domains. Communications in Contemporary Mathematics. Vol. 10(5), 633-650,
(2008).Click
111) L. I. Ignat
- J. D. Rossi. Asymptotic behaviour for a nonlocal diffusion equation on a lattice. Zeitschrift
fur Angewandte Mathematik
und Physik. Vol. 59(5), 918-925, (2008). Click
112) P. Juutinen -- J.
D. Rossi. Large solutions for the
infinity Laplacian. Advances in Calculus of Variations. Vol. 1(3), 271-289,
(2008). Click
113) L. I. Ignat
- J. D. Rossi. Refined asymptotic expansions for nonlocal diffusion equations. Journal of Evolution Equations. Vol. 8,
617-629, (2008). Click
114) J. Fernandez Bonder - J. D.
Rossi - C. B. Schönlieb. The best constant and extremals of the Sobolev embeddings in domains with holes: the $L^\infty$ case.
2009
115) M. Pérez Llanos - J. D. Rossi.
Blow-up for a non-local diffusion problem with
Neumann boundary conditions and a reaction term. Nonlinear Analysis TM\&A. Vol. 70(4), 1629-1640, (2009). Click
116) J. García-Melián
- J. D. Rossi. On the principal eigenvalue
of some nonlocal diffusion problems. Journal of
Differential Equations. Vol. 246(1), 21-38, (2009). Click
117) F. Charro
- J. Garcia Azorero - J. D. Rossi. A mixed problem for the infinity laplacian via
Tug-of-War games. Calculus of Variations and Partial
Differential Equations. Vol. 34(3), 307-320, (2009). Click
118) F. Andreu
- J. M. Mazon - J. D. Rossi - J. Toledo. A nonlocal $p-$Laplacian
evolution equation with non homogeneous Dirichlet
boundary conditions.
119) F. Andreu
- J. M. Mazon - J. D. Rossi - J. Toledo. The limit as $p\to \infty$ in a nonlocal $p-$Laplacian evolution
equation. A nonlocal approximation of a model for sandpiles. Calculus of Variations and Partial Differential Equations. Vol. 35(3), 279-316, (2009). Click
120) J. Garcia Melian - J. D. Rossi - J. Sabina.
Existence, asymptotic behavior
and uniqueness for large solutions to $\Delta u = e^{q(x) u}$. Advanced Nonlinear Studies. Vol. 9, 395-424,
(2009). Click
121) C. Cortazar
- M. Elgueta - J. D. Rossi. Nonlocal diffusion problems
that approximate the heat equation with Dirichlet
boundary conditions.
122) J. Garcia Melian
- J. D. Rossi - J. Sabina. An elliptic system with bifurcation
parameters on the boundary conditions. Journal of Differential Equations. Vol. 247(3),
779-810, (2009). Click
123) J. Garcia Melian
- J. D. Rossi - J. Sabina. Large solutions for the Laplacian with a power nonlinearity given by a variable
exponent. Annales de l’Institut Henri Poincaré, C. Analyse Non Linéaire. Vol.~26(3), 889--902, (2009). Click
124) J. Garcia Azorero - J. J. Manfredi - I. Peral - J. D. Rossi.
The limit as $p\to \infty$
for the $p-$Laplacian with mixed boundary conditions
and the mass transport problem through a given window. Rendiconti
Lincei Matematica e Applicazioni. Vol. 20(2), 111-126, (2009). Click
125) L. I. Ignat
- J. D. Rossi. Decay estimates for nonlocal problems via energy methods. Journal de Mathematiques
Pures et Appliquees. Vol. 92(2),
163-187, (2009). Click
126) J. Fernández
Bonder - R. Orive - J. D. Rossi. The best Sobolev trace constant in periodic
media for critical and subcritical exponents.
127) J. Fernandez Bonder - P. Groisman - J. D. Rossi.
Continuity of the explosion time in stochastic
differential equations. Stochastic Analysis and Applications. Vol. 27(5), 984-999, (2009). Click
128) J. Garcia Melián
- J. D. Rossi. A logistic equation with refuge and nonlocal diffusion. Communications on Pure and Applied Analysis.
Vol. 8(6), 2037-2053, (2009). Click
129) J. García-Melián
- J. D. Rossi - J. Sabina. Existence and uniqueness of
positive solutions to elliptic problems with sublinear
mixed boundary conditions. Communications in Contemporary Mathematics. Vol. 11(4), 585-613, (2009).
Click
130) J. J. Manfredi
- J. D. Rossi - J. M. Urbano. $p(x)$-harmonic functions with unbounded exponent in a subdomain. Annales de l$'$Institut
Henri Poincaré, C. Analyse Non Linéaire.
Vol. 26(6), 2581-2595, (2009). Click
131) J. Garcia Melian
- J. D. Rossi. Maximum and antimaximum
principles for some nonlocal diffusion operators. Nonlinear Analysis TM&A. Vol.
71, 6116-6121, (2009). Click
132) C. Cortázar
- M. Elgueta - S. Martinez - J. D. Rossi. Random walks and the porous medium equation. Revista de
2010
133) J. M. Arrieta - R. Ferreira - A. de Pablo -
J. D. Rossi. Stability of the
blow-up time and the blow-up set under perturbations. Discrete and Continuous Dynamical
Systems. Vol. 26(1), 43-61, (2010). Click
134) L. I. Ignat
- J. D. Rossi. Asymptotic expansions for nonlocal diffusion equations in $L^q$-norms
for $1\leq q \leq 2$. Journal of Mathematical Analysis and
Applications. Vol. 362, 190-199, (2010). Click
135) M. Pérez-Llanos
- J. D. Rossi. The behaviour of the $p(x)-$Laplacian eigenvalue problem as
$p(x)\to\infty$. Journal of Mathematical Analysis and
Applications. Vol. 363, 502-511, (2010). Click
136) J. J. Manfredi
- J. D. Rossi - J. M. Urbano. Limits as $p(x) \to \infty$ of $p(x)$-harmonic
functions.
Nonlinear Analysis TM&A. Vol. 72, 309-315, (2010). Click
137) J. J. Manfredi
- M. Parviainen - J. D. Rossi. An
asymptotic mean value characterization
for $p$-harmonic functions. Proceedings of the American Mathematical
Society. Vol. 138, 881-889, (2010). Click
138) M. Pérez-Llanos
- J. D. Rossi. The limit as $p(x)\to\infty$ of solutions to the inhomogeneous Dirichlet problem of the $p(x)-$Laplacian.
Nonlinear Analysis
TMA. Vol.73, 2027-2035, (2010). Click
139) C. Brandle
- F. Quiros - J. D. Rossi. Complete blow-up and avalanche formation for a parabolic system with
non-simultaneous blow-up. Advanced Nonlinear Studies. Vol. 10, 659-679, (2010). Click
140) J. D. Rossi - C. B. Schönlieb. Nonlocal higher order evolution equations. Applicable Analysis. Vol. 89(6),
949-960, (2010). Click
141) J. García
Melián - J. D. Rossi - J. Sabina. Large solutions to an anisotropic quasilinear
elliptic problem. Annali di Matematica Pura ed Applicata. Vol. 189(4), 689-712, (2010). Click
142) J. J. Manfredi
- M. Parviainen - J.
D. Rossi. An asymptotic mean value
characterization for a class of
nonlinear parabolic equations related to tug-of-war games.
143) A. Mercaldo
-- J. D. Rossi -- S. Segura de Leon -- C. Trombetti. Anisotropic $p,q$-Laplacian equations when $p$
goes to $1$. Nonlinear Analysis TMA. Vol. 73, 3546-3560, (2010). Click
144) J. García
Melián - J. D. Rossi - J. Sabina. Layer profiles of solutions to elliptic problems under
parameter-dependent boundary conditions. Journal for Analysis and its Applications
(ZAA). Vol. 29(4), 451-467, (2010). Click
145) J. M. Mazon
- J. D. Rossi - J. Toledo. On Nonlinear Nonlocal
Diffusion Problems. International Journal of Biomathematics and
Biostatistics. Vol. 1(2), July-December 2010, 181-192, (2010). Click
2011
146) J. García Melián -
J. D. Rossi - J. Sabina. An application of the maximum principle to describe the layer behavior of large solutions and related problems. Manuscripta
Mathematica. Vol. 134(1-2), 183-214, (2011). Click
147) F. Andreu
- J. M. Mazón - J. D. Rossi - J. Toledo. Local and nonlocal weighted $p-$Laplacian evolution
equations with Neumann boundary
conditions. Publicacions Matemàtiques. Vol. 55,
27-66, (2011). Click
148) N. Igbida - J. M. Mazón - J. D. Rossi - J. Toledo.
A Monge-Kantorovich
mass transport problem for a discrete distance. Journal of Functional Analysis. Vol. 260,
3494-3534, (2011). Click
149) J. D. Rossi. Tug-of-war
games and PDEs. Proceedings of the Royal Society
of Edimburgh. Vol. 141A, 319-369, (2011). Click
150) M. Pérez-Llanos
- J. D. Rossi. Limits as $p(x) \to \infty$ of $p(x)$-harmonic functions with non-homogeneous
Neumann boundary conditions. Contemporary Mathematics AMS, Vol. 540, 187-202, (2011). Click
151) J. García
Melián - J. D. Rossi - J. Sabina. Limit cases in an elliptic problem with a parameter-dependent boundary
condition.
Asymptotic Analysis. Vol. 73(3), 147-168, (2011). Click
152) M. Pérez-Llanos
- J. D. Rossi. Numerical approximations for a nonlocal evolution equation.
153) M. Pérez-Llanos
- J. D. Rossi. An anisotropic infinity Laplacian
obtained as the limit of the anisotropic $(p,q)-$Laplacian Communications in Contemporary Mathematics. Vol. 13(6), 1-20, (2011). Click.
2012
154) J. García Melián -
J. D. Rossi - J. Sabina. A convex-concave elliptic problem with a parameter on the boundary
condition. Discrete
and Continuous Dynamical Systems A. Vol. 32(4), 1095-1124, (2012). Click
155) J. D. Rossi - E. V. Teixeira. A limiting free boundary problem
ruled by Aronsson's equation. Transactions of the American
Mathematical Society. Vol. 364(2), 703-719, (2012). Click
156) A. Mercaldo
- J. D. Rossi - S. Segura de Leon - C. Trombetti. On the behaviour of solutions to the Dirichlet
problem for the $p(x)-$Laplacian when $p(x)$ goes to
$1$ in a subdomain. Differential and Integral Equations. Vol.
25(1-2), 53-74, (2012). Click
157) J. M. Mazon
- J. D. Rossi - J. Toledo. On the best Lipschitz
extension problem for a discrete distance and the discrete $\infty$-Laplacian. Journal de Mathematiques
Pures et Appliquees. Vol.
97(2), 98-119, (2012). Click
158) J. J. Manfredi
- M. Parviainen - J. D. Rossi. Dynamic programming principle for
tug-of-war games with noise. ESAIM. Control, Optimisation and Calculus of Variations, COCV. Vol.
18(1), 81-90, (2012). Click
159) L. I. Ignat
- J. D. Rossi - A. San Antolin. Lower and upper bounds for the first eigenvalue
of nonlocal diffusion problems in the whole space. Journal of Differential Equations.
Vol. 252(12), 6429-6447, (2012).Click
160) R. Ferreira - A. de Pablo - M. Pérez-LLanos - J. D. Rossi. Critical exponents for
a semilinear parabolic equation with variable reaction.
The Royal Society
of
161) J. J. Manfredi
- M. Parviainen - J. D. Rossi. On the definition and properties of $p$-harmonious functions. Annali della Scuola Normale Superiore di Pisa, Clase di Scienze.
Vol. XI(2), 215-241, (2012). Click
162) M. Bocea - M. Mihailescu - M. Pérez-Llanos - J. D. Rossi.
Models for growth of heterogeneous sandpiles via Mosco convergence. Asymptotic Analysis. Vol.
78(1\&2), 11--36, (2012). Click
2013
163) A. Mercaldo
- J. D. Rossi - S. Segura de Leon - C. Trombetti. Behaviour of $p-$Laplacian problems with
Neumann boundary conditions when $p$ goes to $1$. Communications on Pure and Applied Analysis.
Vol. 12(1), 253--267, (2013). Click
164) R. López-Soriano
- J. C. Navarro-Climent - J. D. Rossi. The infinity Laplacian with a transport term. Journal of Mathematical Analysis and
Applications. Vol. 398, 752-765, (2013). Click
165)
2014
166) J. C. Navarro-Climent - J. D. Rossi - R. C. Volpe. Optimal mass transport in thin
domains. Advanced
Nonlinear Studies. Vol. 14, 239-257, (2014). Click
167) P. J. Martinez-Aparicio - M. Perez-Llanos - J. D. Rossi. The limit as $p\to \infty$
for the eigenvalue problem of the $1$-homogeneous
$p$-laplacian. Revista Matemática Complutense. Vol.
27(1), 241-258, (2014). Click
168) J. M. Mazon - J. D.
Rossi - J. Toledo. An optimal matching
problem for the Euclidean distance.
169) L. M. Del Pezzo
- J. D. Rossi. Tug-of-War games and parabolic problems with
spatial and time dependence. Differential and Integral Equations. Vol.
27(3-4), 269-288, (2014). Click
170) J. M. Mazon
- J. D. Rossi - J. Toledo. An optimal transportation problem
with a cost given by the Euclidean distance plus import/export taxes on the
boundary. Revista Matemática
Iberoamericana. Vol. 30(1), 277-308, (2014).
Click
171) L. I. Ignat - D. Pinasco - J. D. Rossi - A. San Antolin. Decay estimates for nonlinear nonlocal diffusion problems in the whole space. Journal d'Analyse Mathematique. Vol.
122(1), 375-401, (2014). Click
172) L. M. Del Pezzo
- C. A. Mosquera - J. D. Rossi. The
unique continuation property for a nonlinear equation on trees. Journal of the
173) J. M. Mazon
- J. D. Rossi - J. Toledo. Mass transport problems for the
Euclidean distance obtained as limits of $p-$Laplacian
type problems with obstacles. Journal of Differential Equations. Vol. 256(9), 3208-3244, (2014). Click
174) J. C. Navarro - J. D. Rossi -
N. Saintier - A. San Antolin.
The dependence of the first eigenvalue
of the infinity Laplacian with respect to the domain. Glasgow Mathematical Journal. Vol.
56, 241-249, (2014). Click
175) L. M. Del Pezzo
- C. A. Mosquera - J. D. Rossi. Existence, uniqueness and decay rates for evolution equations on trees. Portugaliae
Mathematica. Vol. 71(1), 63-77, (2014). Click
176) C. Esteve - J. D. Rossi - A. San Antolin. Upper bounds for the decay rate in
a nonlocal $p-$Laplacian
evolution problem.
Boundary Value Problems. Vol. 2014, May 2014, 109, 1-10, (2014). Click
177) P. J. Martinez-Aparicio - M. Pérez-Llanos - J.
D. Rossi. The sublinear problem
for the $1$-homogeneous $p$-laplacian. Proceedings of the American
Mathematical Society. Vol. 142(8), 2641-2648, (2014). Click
178) J. Garcia-Melian
- J. D. Rossi - J. C. Sabina de Lis. Multiplicity
of solutions to a nonlinear elliptic problem with nonlinear boundary
conditions. Nonlinear Differential Equations and Applications. NoDEA. Vol. 21(3), 305-337, (2014). Click
179) J. M. Mazon
- J. D. Rossi - J. Toledo. Mass transport problems obtained as
limits of $p$-Laplacian type problems with spatial
dependence. Advances
in Nonlinear Analysis. Vol. 3(3), 133-140, (2014). Click
180) J. M. Mazon
- J. D. Rossi - S. Segura de Leon. Functions of Least Gradient and $1$-Harmonic functions.
181) L. M. Del Pezzo
- C. A. Mosquera - J. D. Rossi. Estimates
for nonlinear harmonic measures on trees. Bulletin of the Brazilian
Mathematical Society. Vol. 45(3), 405-432, (2014). Click.
182) E. Chasseigne
- P. Felmer - J. D. Rossi - E. Topp.
Fractional decay bounds for nonlocal
zero order heat equations. Bulletin of the
183) J. M. Mazon
- J. D. Rossi - J. Toledo. On optimal matching measures for
matching problems related to the Euclidean distance. Equadiff
13, Mathematica Bohemica.
Vol. 139(4), 553-566, (2014). Click
2015
184) J. J. Manfredi
- J. D. Rossi - S. J. Somersille. An obstacle problem for Tug-of-War games. Communications on Pure and Applied Analysis.
Vol. 14(1), 217-228, (2015). Click
185) J. M. Mazon
- J. D. Rossi - J. Toledo. Optimal matching problems with
costs given by Finsler distances. Communiations
on Pure and Applied Analysis. Vol. 14(1), 229-244, (2015). Click
186) R. Ferreira - J. D. Rossi. Decay
estimates for a nonlocal $p-$Laplacian
evolution problem with mixed boundary conditions. Discrete and Continuous
Dynamical Systems – A. Vol. 35(4), 1469-1478, (2015). Click
187) J. M. Mazon - J. D. Rossi - S. Segura de Leon. The $1$--Laplacian elliptic equation with
inhomogeneous Robin boundary conditions. Differential and Integral Equations.
Vol.28(5/6), 401-430, (2015). Click
188) J. D. Rossi - N. Saintier. The limit as $p\to +\infty$ of the first eigenvalue
for the $p$-Laplacian with mixed Dirichlet
and Robin boundary conditions. Nonlinear Analysis TM&A. Vol. 119,
167-178, (2015). Click
189) L. M. Del Pezzo
- J. D. Rossi - N. Saintier - A. Salort. An
optimal mass transport approach for limits of eigenvalue
problems for the fractional p-Laplacian. Advances
in Nonlinear Analysis. Vol. 4(3), 235–249, (2015). Click
190) J. M. Mazon - J.
D. Rossi - J. Toledo. Optimal mass transport on metric
graphs. To appear in SIAM Journal on Optimization. SIOPT. Vol. 25(3),
1609–1632, (2015). Click
191) J. D. Rossi - E. V. Teixeira - J. M. Urbano. Optimal
regularity at the free boundary for the infinity obstacle problem. Interfaces
and Free Boundaries. Vol. 17(3), 381-398, (2015). Click
192) J. Carmona – P. J. Martinez Aparicio – J. D. Rossi. A singular elliptic equation with natural growth in the gradient and a
variable exponent. Nonlinear
Differential Equations and Applications NoDEA. Vol.
22(6), 1935-1948, (2015). Click
2016
193) J. M. Mazon - M. Perez-LLanos - J. D. Rossi - J. Toledo. A nonlocal
$1$-Laplacian problem and median values. Publicacions Matematiques. Vol.
60(1), 27-53, (2016). Click
194) J. Garcia-Melian – J. D. Rossi – J. C.
Sabina de Lis. Elliptic systems with boundary
blow-up: existence, uniqueness and applications to removability
of singularities.
Communications on Pure and Applied Analysis. Vol. 15(2), 549-562, (2016). Click
195) U. Kaufmann – J. D. Rossi – R. Vidal. Decay bounds for nonlocal evolution equations
in Orlicz spaces. Annals of Functional Analysis. Vol. 7(2),
261-269, (2016). Click
196) J. D. Rossi - E. Topp. Large solutions for a class of semilinear integro-differential
equations with censored jumps. Journal of Differential Equations. Vol. 260(9), 6872-6899, (2016). Click
197) L. M. Del Pezzo – J. D.
Rossi. The first nontrivial eigenvalue
for a system of p-Laplacians with Neumann and dirichlet boundary conditions. Nonlinear Analysis TM&A. Vol. 137,
381-401, (2016). Click
198) P. Blanc - J. P. Pinasco - J. D. Rossi. Obstacle problems and
maximal operators.
Advanced Nonlinear Studies. Vol. 16(2), 355–362, (2016). Click
199) A. Molino - J. D. Rossi. Nonlocal diffusion problems that approximate a parabolic equation with spacial dependence. Zeitschrift
fur Angewandte Mathematik
und Physik. Vol. 67, 41, 1-14, (2016). Click
200) P. Juutinen
- M. Parviainen - J. D. Rossi. Discontinuous gradient constraints and the infinity Laplacian.
International
Mathematics Research Notices. Vol. 2016(8), 2451-2492, (2016). Click
201) J. M. Mazon
- J. D. Rossi - J. Toledo. Fractional p-Laplacian
evolution equations.
Journal de Mathematiques Pures
et Appliquees. Vol. 105(6), 810-844, (2016). Click
202) J. D. Rossi - P. Wang. The limit as $p\rightarrow \infty$ in a two-phase free boundary problem for the $p$-Laplacian. Interfaces and Free Boundaries. Vol. 18, 117-137, (2016). Click
203) J. D. Rossi - N.Saintier. On the first nontrivial eigenvalue of the $\infty$-Laplacian
with Neumann boundary conditions.
204) J. Garcıa-Melian
- J. D. Rossi - J. C. Sabina de Lis. A variable exponent diffusion problem of concave–convex nature. Topological Methods in Nonlinear
Analysis. Vol. 47(2), 613–639, (2016). Click
205) D. Bonheure
- J. D. Rossi - N. Saintier. The limit as $p \to \infty$ in the eigenvalue problem for a system of $p−$Laplacians. Annali di Matematica Pura ed Applicata. Vol. 195(4), 1771–1785, (2016). Click
206) L. M. Del Pezzo -
J. D. Rossi. The first eigenvalue
of the p−Laplacian on quantum graphs. Analysis and Mathematical Physics.
Vol. 6(4), 365-391, (2016). Click
207) L. M. Del Pezzo -
J. D. Rossi. Clustering for metric
graphs using the p−Laplacian.
208) L. M. Del Pezzo - J. D. Rossi. Eigenvalues for a nonlocal pseudo p-Laplacian. Discrete and Continuous Dynamical
Systems, A. Vol. 36(12), 6737-6765, (2016).
Click
2017
209) D. Bonheure - J.
D. Rossi. The behavior of
solutions to an elliptic equation involving a $p-$Laplacian
and a $q-$Laplacian for large $p$. Nonlinear Analysis. TM&A. Vol.
150, 104-113, (2017). Click
210) P. Blanc – J. P. Pinasco
– J. D. Rossi. Maximal operators for the p-Laplacian family. Pacific Journal of Mathematics. Vol.
287(2), 257-295, (2017). Click
211) M. C. Pereira – J. D. Rossi. Nonlocal problems in thin domains. To appear in Journal of Differential
Equations. Vol. 263(3), 1725-1754,
(2017). Click
212) J. M. Mazón
– J. D. Rossi – J. Toledo. The heat content for nonlocal diffusion with non–singular kernels. Advanced
Nonlinear Studies. Vol.17(2), 255{268, (2017). Click
213) G. Beltritti – J. D. Rossi. Nonlinear evolution equations that are nonlocal
in space and time. Journal of Mathematical Análisis
and Applications. Click
214) L. Del Pezzo
- J. D. Rossi. Traces for fractional Sobolev
spaces with variable exponents. . Advances in Operator Theory. Vol. 2(4),
435-446, (2017). Click
215) U. Kaufmann – J. D. Rossi – R.
Vidal. Fractional Sobolev
spaces with variable exponents and fractional p(x)-Laplacians.
Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE).
No. 76, 1-10, (2017). Click
To appear
216) N. Igbida - J. M. Mazon - J. D.
Rossi - J. Toledo. Optimal mass transportation for a Finsler distance cost via $p$-Laplacian
approximations. To
appear in Advances in Calculus of Variations. Click
217) L. M. Del Pezzo
- J. D. Rossi - A. Salort. Fractional
eigenvalue problems that approximate Steklov eigenvalues. To
appear in Proceedings of the Royal Society of Edimburgh. Click
218) J. M. Mazon
- J. D. Rossi - J. Toledo. Nonlocal Perimeter, Curvature and Minimal Surfaces
for measurable sets. To appear in Journal d’Analyse
Mathematique. Click
219) A. Molino – J. D. Rossi. Nonlocal approximations to Fokker-Planck equations. To appear in Funkcialaj Ekvacioj. Click
220) J. Carmona
– A. Molino – J. D. Rossi. The Gelfand
problem for the 1-homogeneous p-laplacian. To
appear in Advances in Nonlinear Analysis.
Click
221) M. C. Pereira – J. D. Rossi. An obstacle problem for nonlocal equations in
perforated domains. To
appear in Potential Analysis. Click
222) J. V. da
Silva - J. D. Rossi - A. M. Salort. Maximal
solutions for the $infty$-eigenvalue problem. To appear in Advances in Calculus of
Variations. Click
223) M. C. Pereira – J. D. Rossi. Nonlocal evolution problems in thin domains. To appear in Applicable
Analysis. Click
224) L. Del Pezzo
– J. D. Rossi. Eigenvalues for systems of fractional p−Laplacians.
To appear in Rocky
Mountain Journal of Mathematics. Click
225) J. Garcia-Melian
– J. D. Rossi – J. C. Sabina de Lis. A
diffusion equation with a variable order reaction. To appear in Advanced
Nonlinear Studies. Click
226) C. Gomez – J.D. Rossi. A
nonlocal diffusion problem that approximates the heat
equation with Neumann boundary conditions. To appear in Journal of King Saud University - Science. Click
227) J. V. da Silva - J. D. Rossi - A. M. Salort.
The $infty$-Fucik
spectrum. To appear in Annales Academiæ Scientiarum Fennicæ Matemática. Click
228) J.
Fernandez Bonder – J. D. Rossi – J. F. Spedaletti.
Optimal design problems for the first p−fractional eigenvalue with
mixed boundary conditions. To appear in Advanced Nonlinear Studies. Click
Preprints
229) J. M. Mazon
- J. D. Rossi - J. Toledo. An optimal matching problem with
constraints. Click
230) M. C. Pereira – J. D. Rossi. Nonlocal problems in perforated domains. Click
231) J. D. Rossi – J. V. da Silva. The limit as p → ∞ in
free boundary problems with fractional p-Laplacians.
Click
232) M. C.
Pereira – J. D. Rossi – N. Saintier. Fractional problems in thin domains. Click
233) L. Beznea
– L. I. Ignat – J. D. Rossi. From
Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes. Click
234) A. Molino – J. D. Rossi. A
concave-convex problem with a variable operator. Click
235) J. P. Agnelli
- U. Kaufmann - J. D. Rossi. Numerical solutions to
minimal/maximal operators iterating obstacle problems. Click
236) J. V. da Silva - J. D. Rossi
- A. M. Salort. Uniform stability of the ball with respect to
the first Dirichlet and Neumann $infty$-eigenvalues. Click
237) J. V. da
Silva – J. D. Rossi.
A limit case in non-isotropic two-phase minimization problems driven by p−Laplacians. Click
Notes
1) J. D. Rossi. Asymptotics for evolution problems with nonlocal diffusion. Course in Ecole de printemps
''Equation aux dérivées partielles
non linéaires'', Marrakech, 31 Mars – 5 Avril 2008. Click
2) J. D. Rossi. Asymptotic
behaviour of solutions to evolution problems with nonlocal
diffusion. Course in, CIEM, Castro Urdiales,
Cantabría, Spain, July 6-17,
2009. Click
3) J. D. Rossi. Tug-of-War games and PDEs. Course in Maxwell Centre for
Analysis and Nonlinear PDEs. Edimburg.
4) J. D. Rossi. Asymptotic
behaviour for nonlocal diffusion problems. Course in 3rd
Libros/Books
Fuensanta
Andreu-Vaillo - José M. Mazón
- Julio D. Rossi - J. Julián Toledo-Melero. Nonlocal Diffusion Problems.
American Mathematical Society. Mathematical Surveys and Monographs 2010. Vol.
165. ISBN-10: 0-8218-5230-2. ISBN-13: 978-0-8218-5230-9.
http://www.ams.org/bookstore-getitem/item=SURV-165
Book
Chapter.
1) J. D. Rossi.
Elliptic problems with nonlinear boundary
conditions and the Sobolev trace theorem. Chapter
5 of HANDBOOK OF DIFFERENTIAL EQUATIONS: STATIONARY PARTIAL DIFFERENTIAL
EQUATIONS, 2. Edited by M.Chipot - P. Quittner. Elsevier. (2005). (96 pag).
Link
Surveys
1)
P. Groisman - J. D. Rossi. Aproximando soluciones que explotan. Boletin de la Sociedad Española de Matematica Aplicada,
SEMA. No 26, diciembre 2003, 35-56. Click
2) J. Garcia Azorero - J. J. Manfredi - I. Peral - J. D. Rossi. Neumann boundary conditions for the
infinity Laplacian and the Monge-Kantorovich
mass transport problem. Boletín de la Sociedad
Española de Matemática Aplicada, SEMA. No 43, junio 2008, 7--28. Click
3) J. D. Rossi. Asymptotic Mean Value Properties for the $p-$Laplacian.Revista de la Sociedad Española de
Matemática Aplicada. SeMA Journal.
Vol 56, (2011), 35-62.
Última modificación/Last update
2 de diciembre de 2017 / December 2th 2017.