<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We study existence of solutions with singular limits for a two-dimensional semilinear elliptic problem with exponential dominated nonlinearity and a quadratic convection non linear gradient term, imposing Dirichlet boundary condition. This paper extends previous results obtained in [1], [3], [4] and some references therein for related issues.</p></abstract>

We study existence of solutions with singular limits for a two-dimensional semilinear elliptic problem with exponential dominated nonlinearity and a quadratic convection non linear gradient term, imposing Dirichlet boundary condition. This paper extends previous results obtained in [1], [3], [4] and some references therein for related issues.

Singular Limits for 2-Dimensional Elliptic Problem with Exponentially Dominated Nonlinearity and a Quadratic Convection Term

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire 2092 Tunis, Tunisie

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

We study existence of solutions with singular limits for a two-dimensional semilinear elliptic problem with exponential dominated nonlinearity and a quadratic...

Singular Limits for 2-Dimensional Elliptic Problem with Exponentially Dominated Nonlinearity and a Quadratic Convection Term

Published Online: Jul 30, 2013

Page range: 19 - 50

DOI: https://doi.org/10.2478/auom-2013-0002

This content is open access.