Preprints / Recent Publications.

 

 

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

 

 

To appear

 

160) J. J. Manfredi - M. Parviainen - J. D. Rossi. On the definition and properties of $p$-harmonious functions.  To appear in Annali della Scuola Normale Superiore di Pisa, Clase di Scienze. Click

161) R. Ferreira - A. de Pablo - M. Pérez-LLanos - J. D. Rossi. Critical exponents for a semilinear parabolic equation with variable reaction. To appear in The Royal Society of Edinburgh Proceedings A (Mathematics). Click

162) A. Mercaldo - J. D. Rossi - S. Segura de Leon - C. Trombetti. Behaviour of $p-$Laplacian problems with Neumann boundary conditions when $p$ goes to $1$. To appear in Communications on Pure and Applied Analysis. Click

163) M. Bocea - M. Mihailescu - M. Pérez-Llanos - J. D. Rossi. Models for growth of heterogeneous sandpiles via Mosco convergence. To appear in Asymptotic Analysis. Click

 

Preprints

 

164) I. Gómez - J. D. Rossi. Tug-of-War games and the infinity Laplacian with spatial dependence. Click

165) P. J. Martinez-Aparicio - M. Pérez-Llanos - J. D. Rossi. The sublinear problem for the $1$-homogeneous $p$-laplacian. Click

166) P. Juutinen - M. Parviainen - J. D. Rossi. Discontinuous gradient constraints and the infinity Laplacian. Click

167) 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. Click

168) R. López-Soriano - J. C. Navarro-Climent - J. D. Rossi. The infinity Laplacian with a transport term. Click

169) L. M. Del Pezzo - C. A. Mosquera - J. D. Rossi. The unique continuation property for a nonlinear equation on trees. Click

170) J. M. Mazon - J. D. Rossi - J. Toledo. An optimal transportation problem with a cost given by theEuclidean distance plus import/export taxes on the boundary. 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. Scotland. May 2010. Click

4) J. D. Rossi. Asymptotic behaviour for nonlocal diffusion problems. Course in 3rd Spring School Analytical and Numerical Aspects of Evolution Equations in Essen. Germany. March 2011. Click

 

 

                  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

11 de mayo de 2012 / May 11th 2012.