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).
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页码：1758 / 1781
页数：24
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