Multiplicity and concentration of solutions for a fractional Schrodinger equation via Nehari method and pseudo-index theory

被引：2

作者：

Liu, Min ^{[1
,2
]}

Tang, Zhongwei ^{[2
]}

机构：

[1] Liaoning Shihua Univ, Sch Sci, Fushun 113001, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 05期

基金：

中国国家自然科学基金;

关键词：

POSITIVE SOLUTIONS; COMPACTNESS; UNIQUENESS; EXISTENCE; SYMMETRY;

D O I：

10.1063/1.5051462

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a nonlinear fractional Schrodinger equation motivated by nonlocal quantum mechanics. Under suitable assumptions on the potentials, we explore the existence, concentration, convergence, and decay estimates of ground state solutions for this equation. Moreover, the multiplicity of solutions is constructed via pseudo index theory, and the existence of sign changing solutions is obtained via the Nehari method. Published under license by AIP Publishing.

引用

页数：25

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