The Neumann problem of an elliptic equation with strong resonance

被引：4

作者：

Qian, Aixia ^{[1
]}

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 09期

关键词：

strong resonance; Morse theory; nodal set;

D O I：

10.1016/j.na.2006.02.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we consider a class of strong resonance problems for nonlinear elliptic Neumann BVPs, and establish existence and multiplicity results for positive, negative and sign-changing solutions by using a Morse theoretical approach. (c) 2007 Published by Elsevier Ltd.

引用

页码：1885 / 1898

页数：14

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