Existence of solutions for some fourth-order nonlinear elliptic problems

被引：37

作者：

Yang, Yang ^{[1
,2
]}

Zhang, Jihui ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Inst Math, Nanjing 210097, Peoples R China

[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 01期

关键词：

Critical point; Invariant sets; Minimax method; SIGN-CHANGING SOLUTIONS; SCHRODINGER-EQUATIONS; NONTRIVIAL SOLUTIONS; BIFURCATION;

D O I：

10.1016/j.jmaa.2008.08.023

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 positive, negative and sign-changing Solutions for some fourth order semilinear elliptic boundary Value problems. We present new results on invariant sets of the gradient flows of the corresponding variational functionals. The structure of the invariant sets will be built into minimax procedures to construct the sign-changing Solutions. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：128 / 137

页数：10

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