Semiclassical solutions for Choquard equations with Berestycki-Lions type conditions

被引：23

作者：

Zhang, Jing ^{[1
]}

Wu, Qingfang ^{[2
]}

Qin, Dongdong ^{[3
]}

机构：

[1] Guangdong Univ Foreign Studies, Expt Teaching Ctr, Guangzhou 510275, Guangdong, Peoples R China

[2] Cent South Univ, Sch Traff & Transportat Engn, Changsha 410075, Hunan, Peoples R China

[3] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 188卷

基金：

中国国家自然科学基金;

关键词：

Choquard equation; Multiple semiclassical solutions; Berestycki-Lions type conditions; NONLINEAR SCHRODINGER-EQUATIONS; STANDING WAVES; CRITICAL FREQUENCY; NODAL SOLUTIONS; EXISTENCE; UNIQUENESS; TOPOLOGY; NUMBER; STATES;

D O I：

10.1016/j.na.2019.05.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with existence of multiple semiclassical states for a class of Choquard equation. Under the classic Berestycki-Lions type assumptions assumed on the nonlinearity, we obtain multiplicity of semiclassical solutions for the equation by using a method of penalization argument. We study further the concentration phenomena of such solutions and show that they converge to the least energy solutions of the associated limit problem as the parameter epsilon goes to 0. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：22 / 49

页数：28

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