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Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems

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成果类型:
期刊论文
作者:
Peng, Shuangjie(彭双阶);Wang, Zhi-qiang*
通讯作者:
Wang, Zhi-qiang(彭双阶
作者机构:
[Peng, Shuangjie; Wang, Zhi-qiang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China.
[Wang, Zhi-qiang] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA.
通讯机构:
[Wang, Zhi-qiang] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
期刊:
Archive for Rational Mechanics and Analysis
ISSN:
0003-9527
年:
2013
卷:
208
期:
1
页码:
305-339
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [11071092, 11125101]
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:
We consider the following nonlinear Schrodinger system in R-3 {-Delta u+P(vertical bar x vertical bar)u=mu u(3)+beta upsilon(2)u, x epsilon R-3, {-Delta upsilon+Q(vertical bar x vertical bar)upsilon=nu upsilon(3)+beta u(2)upsilon, x epsilon R-3, where P(r) and Q(r) are positive radial potentials, mu > 0, nu > 0 and beta epsilon R is a coupling constant. This type of system arises, in particular, in models in Bose-Einstein condensates theory. We examine the effect of nonlinear coupling on the solution structure. In the repulsive case, we construct an unbounded sequence of non-radial positive ve...

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