Multiplicity of nontrivial solutions of semilinear elliptic equations

被引：10

作者：

Liu, SQ ^{[1
]}

Tang, CL

Wu, XP

机构：

[1] Shaoyang Teachers Coll, Dept Math, Shaoyang 42200, Peoples R China

[2] SW Normal Univ, Dept Math, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 249卷 / 02期

基金：

中国国家自然科学基金;

关键词：

semilinear elliptic equation; Dirichlet boundary value problem; nontrivial solution; reduction method; critical point; (PS) condition; Sobolev's embedding theorem;

D O I：

10.1006/jmaa.2000.6704

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two nontrivial solutions are obtained by the reduction method for the nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known multiplicity results are generalized. (C) 2000 Academic Press.

引用

页码：289 / 299

页数：11

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