Symmetric mountain pass lemma and sublinear elliptic equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Kajikiya, Ryuji¹ 

[1] Saga Univ, Dept Math, Fac Sci & Engn, Saga 8408502, Japan

关键词: p-Laplace equation;    Sublinear elliptic equation;    Symmetric mountain pass lemma;    infinitely many solutions;    Variational method;   

DOI  :  10.1016/j.jde.2015.10.016

来源: Elsevier

【 摘 要 】

In this paper, we study the p-Laplace elliptic equations under the Dirichlet boundary condition. We give a general and weak sufficient condition for the existence of a sequence of solutions converging to zero. This result is proved by applying the symmetric mountain pass lemma obtained in our earlier paper. For some elliptic equations with parameters, we decide whether the zero solution is an accumulation point or an isolated point in the set of all solutions. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free