Infinitely many solutions for fourth-order elliptic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Ye, Yiwei¹  Tang, Chun-Lei¹ 

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

关键词: Fourth-order elliptic equation;    Critical point;    Cerami sequences;    Symmetric mountain pass theorem;   

DOI  :  10.1016/j.jmaa.2012.04.041

来源: Elsevier

【 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.

【 授权许可】

Free