Existence of multiple nontrivial solutions for semilinear elliptic problems

被引：1

作者：

El Amrouss, A. R. ^{[1
]}

Moradi, F. ^{[1
]}

Moussaoui, M. ^{[1
]}

机构：

[1] Univ Mohamed I, Fac Sci, Dept Math, Oujda, Morocco

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 07期

关键词：

Minimax method; Critical group; Morse theory; Multiple solutions; BOUNDARY-VALUE-PROBLEMS; CRITICAL-POINT THEORY; LINEAR-PROBLEMS; RESONANCE; PERTURBATIONS; EQUATIONS;

D O I：

10.1016/j.camwa.2009.01.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove the existence of multiple nontrivial solutions to a semilinear elliptic problem at resonance. The proofs used here are based on combining the Morse theory and the minimax methods. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1115 / 1126

页数：12

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