High energy solutions and nontrivial solutions for fourth-order elliptic equations

被引：53

作者：

Yin, Yuling ^{[2
]}

Wu, Xian ^{[1
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

[2] Diqing Natl Middle Sch, Diqing 674400, Yunnan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 375卷 / 02期

基金：

中国国家自然科学基金;

关键词：

High energy solutions; Critical point; Sobolev's embedding; Palais-Smale condition; MULTIPLICITY; EXISTENCE;

D O I：

10.1016/j.jmaa.2010.10.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of nontrivial solutions and infinitely many high energy solutions for a class of nonlinear fourth-order elliptic equations in R-N via variational methods. Three main theorems are obtained. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：699 / 705

页数：7

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