Radial symmetry of standing waves for nonlinear fractional Hardy-Schrodinger equation

被引：66

作者：

Wang, Guotao ^{[1
,2
]}

Ren, Xueyan ^{[1
]}

Bai, Zhanbing ^{[2
]}

Hou, Wenwen ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 96卷

关键词：

Fractional Hardy-Schrodinger equation; Standing waves; Radial symmetry; Method of moving planes; ORBITAL STABILITY; ELLIPTIC PROBLEM; SYSTEMS; LAPLACIAN; DIFFUSION;

D O I：

10.1016/j.aml.2019.04.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by applying the method of moving planes, we conclude the conclusions for the radial symmetry of standing waves for a nonlinear Schrodinger equation involving the fractional Laplacian and Hardy potential. First, we prove the radial symmetry of solution under the condition of decay near infinity. Based upon that, under the condition of no decay, by the Kelvin transform, we establish the results for the non-existence and radial symmetry of solution. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：131 / 137

页数：7

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