Title

SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA.

Authors

BARAKET, SAMI; BEN OMRANE, INES; OUNI, TAIEB; TRABELSI, NIHED

Abstract

We study existence of solutions with singular limits for a 2-dimensional semilinear elliptic problem with exponential dominated nonlinearity and a singular source term given by Dirac masses, imposing Dirichlet boundary condition. This paper extends previous results obtained in [3, 8]. We mainly use the method of domain decomposition.

Subjects

NONLINEAR theories; DATA analysis; BOUNDARY value problems; MATHEMATICAL decomposition; GREEN'S functions; MATHEMATICAL analysis; NUMERICAL analysis

Publication

Communications in Contemporary Mathematics, 2011, Vol 13, Issue 4, p697

ISSN

0219-1997

Publication type

Academic Journal

DOI

10.1142/S0219199711004282