A positive ground state solution for a class of asymptotically periodic Schrodinger equations

被引：29

作者：

Liu, Jiu ^{[1
,2
]}

Liao, Jia-Feng ^{[1
,3
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Tongren Univ, Math & Informat Engn Dept, Tongren 554300, Guizhou, Peoples R China

[3] Zunyi Normal Coll, Sch Math & Computat Sci, Zunyi 563002, Guizhou, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Schrodinger equation; Variational method; Lions lemma; Ground state solution; CONCENTRATION-COMPACTNESS PRINCIPLE; SCALAR FIELD-EQUATIONS; EXISTENCE; CALCULUS;

D O I：

10.1016/j.camwa.2016.01.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the reformative conditions, a class of asymptotically periodic Schrodinger equations are studied. Via the variational method, a positive ground state solution is obtained. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：965 / 976

页数：12

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