Multiple nontrivial solutions for some fourth-order semilinear elliptic problems

被引:87
|
作者
Zhang, JH [1 ]
Li, SJ [1 ]
机构
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
关键词
critical group; homological nontrivial critical point; Morse theory; local linking; multiple solutions; travelling waves;
D O I
10.1016/j.na.2004.07.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the existence of multiple nontrivial solutions for some fourth order semilinear elliptic boundary value problems. The weak solutions are sought by means of Morse theory and local linking. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:221 / 230
页数:10
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