Existence of solutions for some fourth-order nonlinear elliptic problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:351

Article

Yang, Yang^1,2  Zhang, Jihui¹ 

[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

关键词: Critical point;    Invariant sets;    Minimax method;   

DOI  :  10.1016/j.jmaa.2008.08.023

来源: Elsevier

【 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.

【 授权许可】

Free