Existence and multiplicity of nontrivial solutions for a nonlocal problem

Boundary value problems

Jinsheng Liu¹  Guoshuai Yin¹ 

[1] College of Mathematics, Taiyuan University of Technology, Taiyuan, P.R. China

关键词: nonlocal problem;    nontrivial solution;    existence;    multiplicity;    35A15;    35B38;    35J25;   

DOI  :  10.1186/s13661-015-0284-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence and multiplicity of nontrivial solutions for a new nonlocal problem. Variational method, mountain pass lemma. Some existence and multiplicity results of nontrivial solutions are obtained.

【 授权许可】

CC BY