GROUND AND BOUND STATE SOLUTIONS FOR A SCHRODINGER SYSTEM WITH LINEAR AND NONLINEAR COUPLINGS IN RN

被引：0

作者：

Perera, Kanishka ^{[1
]}

Tintarev, Cyril ^{[2
]}

Wang, Jun ^{[3
]}

Zhang, Zhitao ^{[4
,5
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

[3] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[4] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[5] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2018年 / 23卷 / 7-8期

关键词：

ELLIPTIC-SYSTEMS; COUPLED SYSTEMS; SOLITARY WAVES; EQUATIONS; SOLITONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of ground and bound state solutions for a system of coupled Schrodinger equations with linear and nonlinear couplings in RN. By studying the limit system and using concentration compactness arguments, we prove the existence of ground and bound state solutions under suitable assumptions. Our results are new even for the limit system.

引用

页码：615 / 648

页数：34

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