Multiplicity of solutions for fractional Schrödinger equations with perturbation

Boundary value problems

Liu Yang¹ 

[1] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, People’s Republic of China

关键词: fractional Schrödinger equations;    mountain pass theorem;    critical point;    34B15;   

DOI  :  10.1186/s13661-015-0317-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate a class of fractional Schrödinger equations with perturbation. By using the mountain pass theorem and Ekeland’s variational principle, we see that such equations possess two solutions. Recent results in the literature are generalized and significantly improved.

【 授权许可】

CC BY