Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero

被引：5

作者：

Liu, ZL ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 07期

基金：

中国国家自然科学基金;

关键词：

variational method; elliptic problem; multiplicity of solutions; sub- and supersolutions; jumping nonlinearity;

D O I：

10.1016/S0362-546X(00)00234-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero was investigated. For this purpose, elliptic boundary problem was considered with ω as bounded domain in RN which is a Lipschitz continuous function, to seek for nontrivial solution. The results showed that the above problem has at least three nontrivial solutions, one positive, second negative and third sign changing.

引用

页码：1051 / 1063

页数：13

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