SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA-Reference-Cited by-同舟云学术

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

Published:2011-08 Issue:04 Volume:13 Page:697-725
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BARAKET SAMI¹,BEN OMRANE INES²,OUNI TAIEB²,TRABELSI NIHED²

Affiliation:

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

2. Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire 2092, Tunis Tunisia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199711004282

Reference21 articles.

1. Construction of singular limits for four-dimensional elliptic problems with exponentially dominated nonlinearity

2. Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity

3. Construction of singular limits for a semilinear elliptic equation in dimension 2

4. SINGULAR LIMIT SOLUTIONS FOR TWO-DIMENSIONAL ELLIPTIC PROBLEMS WITH EXPONENTIALLY DOMINATED NONLINEARITY

5. S. Y. A. Chang, Harmonic Analysis and Partial Differential Equations, Essays in Honor of Alberto P. Calderon, Chicago Lectures in Mathematics (The University of Chicago Press, 1999) pp. 127–150.

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases;Boundary Value Problems;2024-01-25

2. Singular Limit Solutions for a $4$-dimensional Emden–Fowler System of Liouville Type in Some General Case;Taiwanese Journal of Mathematics;2023-03-20

3. Blow-up in Coupled Solutions for a $4$-dimensional Semilinear Elliptic Kuramoto–Sivashinsky System;Taiwanese Journal of Mathematics;2022-11-21

4. Blow up solutions for a 4-dimensional Emden–Fowler system of Liouville type;Journal of Elliptic and Parabolic Equations;2022-03-17

5. Singular Limit Solutions for a 4-dimensional Semilinear Elliptic System of Liouville Type;Taiwanese Journal of Mathematics;2020-08-01