Existence and multiplicity of solutions for superlinear fractional Schrodinger equations in RN

被引：32

作者：

Zhang, Hui ^{[1
]}

Xu, Junxiang ^{[2
]}

Zhang, Fubao ^{[2
]}

机构：

[1] Jinling Inst Technol, Dept Math, Nanjing 211169, Jiangsu, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 09期

关键词：

D O I：

10.1063/1.4929660

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we are concerned with superlinear fractional Schrdinger equation (-Delta)(s)u + V(x)u = f (x, u), x epsilon R-N, where f is continuous. When V and f are asymptotically periodic in x, we show the existence of ground states. When V and f are periodic in x, we obtain infinitely many geometrically distinct solutions. The method used here is based on the method of Nehari manifold and Lusternik- Schnirelmann category theory. (C) 2015 AIP Publishing LLC.

引用

页数：13

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