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Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields

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成果类型:
期刊论文
作者:
Li, Gongbao;Peng, Shuangjie(彭双阶);Wang, Chunhua*
通讯作者:
Wang, Chunhua(彭双阶
作者机构:
[Peng, Shuangjie; Li, Gongbao; Wang, Chunhua] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Wang, Chunhua] H
Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Contraction map;Electromagnetic fields;Nonlinear Schrodinger equations;Non-radial complex-valued solutions
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2011
卷:
251
期:
12
页码:
3500-3521
基金类别:
NSFCNational Natural Science Foundation of China (NSFC)
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we study the nonlinear Schrodinger equation with electromagnetic fields (del/i - A(vertical bar y vertical bar))(2)u + V(vertical bar y vertical bar)u = vertical bar u vertical bar(p-1)u, u : R-N bar right arrow C, where the vector A(r) = (A(1)(r), A(2)(r), ... , A(N)(r)) is such that A(j)(r) (j = 1, 2, ... , N) is a real function on R+ and V(r) is a positive function on R+, 1 < p < N+2/N-2 if N >= 3 and 1 < p < +infinity if N = 2. We prove that the equation has infinitely many non-radial complex-valued solutions under conditions (H-1) and (H-2) whi...

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