Multiple solutions for semilinear elliptic boundary value problems with double resonance

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:354

Article

Liang, Zhanping¹ 

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

关键词: Semilinear elliptic equation;    Double resonance;    Morse theory;    Minimax methods;    Bifurcation method;   

DOI  :  10.1016/j.jmaa.2008.12.053

来源: Elsevier

【 摘 要 】

In this paper we study the multiplicity of nontrivial solutions of semilinear elliptic boundary value problems which may be double resonance near infinity between two consecutive eigenvalues of -Delta with zero Dirichlet boundary data. The methods we use here are Morse theory, minimax methods and bifurcation theory. (c) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free