Multiple solutions of sublinear elliptic equations with small perturbations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:398

Article

Kajikiya, Ryuji

关键词: Semilinear elliptic equation;    Sublinear equation;    Variational method;    Symmetric mountain pass lemma;   

DOI  :  10.1016/j.jmaa.2012.09.045

来源: Elsevier

【 摘 要 】

We study the sublinear elliptic equation having two nonlinear terms, where the main term f (x, u) is sublinear and odd with respect to u and the perturbation term is any continuous function with a small coefficient. Then we prove the existence of multiple small solutions. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free