Ground and bound states for non-linear Schrodinger systems with indefinite linear terms

被引：2

作者：

Qin, Dongdong ^{[1
]}

He, Yubo ^{[1
,2
]}

Tang, Xianhua ^{[1
]}

机构：

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

[2] Huaihua Univ, Dept Math & Appl Math, Huaihua, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 12期

关键词：

Schrodinger system; ground state; indefinite linear part; asymptotically periodic; asymptotically linear; ELLIPTIC-SYSTEMS; EQUATIONS; EXISTENCE; PROPAGATION; THEOREMS; WAVES;

D O I：

10.1080/17476933.2017.1281256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Employing some new analytical skills and the non-Nehari manifold method, we prove some results about the existence of ground and bound states of the following non-linear Schrodinger system: {-Delta u + U-1(x)u = f (x, u, v) in R-N, -Delta v + U-2(x)v = g(x, u, v) in R-N, u, v is an element of H-1(R-N).

引用

页码：1758 / 1781

页数：24

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