Existence and multiplicity of solutions for a class of fourth-order elliptic equations in RN

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Liu, Jiu¹  Chen, ShaoXiong¹  Wu, Xian¹ 

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

关键词: Fourth-order elliptic equations;    Lack of compactness;    Variational methods;   

DOI  :  10.1016/j.jmaa.2012.05.063

来源: Elsevier

【 摘 要 】

In this paper, we study the existence and multiplicity of nontrivial solutions for the following fourth-order elliptic equations {Delta(2)u - Delta u + lambda V(x)u = f(x, u), in R-N u is an element of H-2(R-N). via variational methods. Two main theorems are obtained. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free