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SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA
Journal article   Peer reviewed

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

Sami Baraket, Ines Ben Omrane, Taieb Ouni and Nihed Trabelsi
Communications in contemporary mathematics, Vol.13(4), pp.697-725
08/2011
DOI: https://doi.org/10.1142/S0219199711004282

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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