Infinitely many solutions for fourth-order elliptic equations

被引：68
|
作者：
Ye, Yiwei [1 ]
Tang, Chun-Lei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 394卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fourth-order elliptic equation; Critical point; Cerami sequences; Symmetric mountain pass theorem; VARIANT FOUNTAIN THEOREMS; SIGN-CHANGING SOLUTIONS; NONTRIVIAL SOLUTIONS; BIHARMONIC-EQUATIONS; TRAVELING WAVES; R-N; R(N);
D O I：
10.1016/j.jmaa.2012.04.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of fourth-order elliptic equations setting on R-N. Based on the minimax methods in critical point theory, we obtain the existence of infinitely many large-energy and small-energy solutions, which unifies and improves the recent results of Yin and Wu [Y. Yin, X. Wu, High energy solutions and nontrivial solutions for fourth-order elliptic equations, J. Math. Anal. Appl. 375 (2011)699-705]. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：841 / 854
页数：14
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