On a nonlinear elliptic eigenvalue problem

被引：15

作者：

Chen, SW ^{[1
]}

Li, SJ ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 307卷 / 02期

关键词：

nonlinear eigenvalue problem; perturbation from symmetry; minimax theorem;

D O I：

10.1016/j.jmaa.2005.02.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let N(lambda) be the number of the solutions of the equation: -Delta u = lambda f(u) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded domain in R-N (N >= 2) with smooth boundary. Under suitable conditions on f, we proved that N(lambda) + infinity as lambda -> + infinity. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：691 / 698

页数：8

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