Symmetry of standing waves for two kinds of fractional Hardy-Schrodinger equations

被引：2
|
作者：
Wang, Guotao [1 ,2 ]
Ren, Xueyan [1 ]
Zhang, Lihong [1 ]
Ahmad, Bashir [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2021年 / 60卷 / 04期
关键词：
Generalized Hartree-type fractional Hardy-Schrodinger equation; Standing waves; Radial symmetry; Generalized Pekar-Choquard type fractional Hardy-Schrodinger equation; Direct method of moving planes; MAXIMUM-PRINCIPLES; ORBITAL STABILITY; ELLIPTIC PROBLEM; MOVING PLANES; LAPLACIAN; INEQUALITY; EXISTENCE;
D O I：
10.1016/j.aej.2021.02.023
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider two kinds of nonlinear Schrodinger equations with the fractional Laplacian and Hardy potential (lambda/vertical bar x vertical bar(s), 0 < lambda <= lambda(*), lambda(*) is a constant of the Hardy-Sobolev inequality), which represent the generalized form of Hartree and Pekar-Choquard type time dependent fractional Hardy-Schrodinger equations. Applying the direct method of moving planes, we obtain the radial symmetry and monotonicity of the standing waves for the given equations. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
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页码：3991 / 3995
页数：5
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