Publicaciones de los últimos ańos  (Recent Publications):

En revistas internacionales con referato:

 

 Singular perturbation in a nonlocal diffusion model, con C. Lederman, Communications in PDE 31(2), (2006), 195–241  nolo1.pdf  

 

On the best Sobolev trace constant and extremals in domains with holes, con J. Fernández Bonder y J. D. Rossi,  Bulletin des Sciences Mathematique.30, (2006), 565–579.. hole1.pdf  

 

An optimization problem with a volume constrain for a degenerate quasilinear operator, con J. Fernández Bonder y S. Martínez,  Jour. Diff. Eqs. 227(1), (2006), 80–101. opt-p-laplace.pdf.  

 

A two phase elliptic singular perturbation problem with a forcing term, con C. Lederman, J. Math.  Pures Appl.  86, (2006), 552–589. nonlocal-elliptic.pdf

 

Boundary fluxes for non-local diffusion, con C. Cortázar, M. Elgueta y J. D. Rossi, , Jour.  Diff.  Eqs.  234 (2007), 360–-390. cerw1.pdf

 

How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems, con C. Cortázar, M. Elgueta y J. D. Rossi,  Arch.  Rat.  Mech.  Anal. 187(1), (2008), 137—156. cerw1.pdf

 

A local monotonicity formula for an inhomogeneous singular perturbation problem and applications, con C. Lederman,  Annali di Matematica Pura Appl. 187(2), (2008), 197—220.   cerw2.pdf

 

 A minimum problem with free boundary in Orlicz spaces, con S. Martínez, Advances in Mathematics 218, (2008), 1914—1971.. arXiv:math/0602388

 

A singular perturbation problem for a quasilinear operator satisfying the natural growth condition of Lieberman, con S. Martěnez,  SIAM J. Math. Anal. 41(1) (2009), 318–359. arXiv:0712.4266

 

A local monotonicity formula for an inhomogeneous singular perturbation problem and applications II, con C. Lederman, Annali di Matematica Pura Appl. 189(1), (2010), 25–46. monoII.pdf

 

A free boundary problem for the p(x)-Laplacian, with J. F. Bonder and S. Martěnez,  Nonlinear Analysis TMA, 72, (2010), 1078—1103.  arXiv:0902.3216

 

Asymptotic behavior for a nonlocal diffusion equation with absorption and nonintegrable initial data. The supercritical case, con J. Terra, Proc. AMS. 139(4), (2011), 1421–1432.. arXiv:1004.0717v2

 

Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data, with J. Terra, Discrete and Continuous Dynamical Systems, 31(2), (2011), 581–605.  arXiv:1004.0717v2

 Asymptotic behavior for a nonlocal diffusion equation in domains with holes, con C. Cortazar, M. Elgueta y F. Quiros, Arch. Rat. Mech. Anal., 205(2), (2012), 673–697  arXiv:1111.1761 

 

Asymptotic Behavior for a nonlocal diffusion equation on the half line, con C. Cortazar, M. Elgueta y F. Quiros, Discrete and Continuous Dynamical Systems A, 35(4), 2015, 1391--1407. arXiv:1308.4897

 

Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data: the subcritical case, con a. Salort y J. Terra, por aparecer en Asymptotic Analysis, arXiv:1404.3226

 

Local bounds, Harnack inequality and Hölder continuity for divergence type elliptic equations with nonstardard growth, Revista de la UMA, 56(1), 2015,  73--105.2015, arXiv:1309.2227

 

Asymptotic behavior for a one-dimensional nonlocal diffusion equation in exterior domains, con C. Cortazar, M. Elgueta y F. Quiros, arXiv:1412.0731

 

Asymptotic behavior for a nonlocal diffusion equation in exterior domains: the critical two-dimensional case, con C. Cortazar, M. Elgueta y F. Quiros, arXiv:1504.07301

 

An inhomogeneous singular perturbation problem for the $p(x)$-Laplacian, con C. Lederman, Nonlinear Analysis, TM&A, por aparecer.arXiv:1510.00316