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.
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页码：1885 / 1898
页数：14
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