Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity

被引：12

作者：

Li, SJ ^{[1
]}

Zhang, ZT ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2001年 / 44卷 / 07期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

Fucik spectrum; critical points; critical groups; sign-changing solutions; Dirichlet problems; jumping nonlinearities;

D O I：

10.1007/BF02880135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Fucik spectrum, ordinary differential equation theory of Banach spaces and Morse theory are used to study semilinear elliptic boundary value problems with jumping nonlinearities; at zero or infinity, and some new results on the existence of nontrivial solutions, multiple solutions and sign-changing solutions are obtained. In one case seven nontrivial solutions are got. The techniques have independent interest.

引用

页码：856 / 866

页数：11

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