Existence and non-existence of nontrivial solutions for Schrodinger systems via Nehari-Pohozaev manifold

被引：6

作者：

Qin, Dongdong ^{[1
]}

Chen, Jing ^{[2
]}

Tang, XianHua ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 12期

关键词：

Coupled Schrodinger system; Pohozaev identity; Non-existence; Nehari-Pohozaev manifold; Barycenter; GROUND-STATE SOLUTIONS; POSITIVE SOLUTIONS; ELLIPTIC-SYSTEMS; R-N; EQUATIONS; UNIQUENESS; SYMMETRY; WAVES;

D O I：

10.1016/j.camwa.2017.08.010

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 bound states for a coupled gradient system of nonautonomous Schrodinger equations which arises from studies of nonlinear optics and Bose Einstein condensates. By using variational methods that are constrained to a Nehari Pohozaev manifold, we obtain existence of nonnegative and positive bound states solutions. In Particular, we show non-existence result for a minimizing problem. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：3141 / 3160

页数：20

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