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Existence and concentration results for kirchhoff-type schrödinger systems with steep potential well

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成果类型:
期刊论文
作者:
Lu, Dengfeng*
通讯作者:
Lu, Dengfeng
作者机构:
[Lu, Dengfeng] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Peoples R China.
[Lu, Dengfeng] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Lu, Dengfeng] H
Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Peoples R China.
语种:
英文
关键词:
Kirchhoff-type Schr$\ddot{o}$dinger system;variational method;concentration;steep potential well
期刊:
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
ISSN:
1015-8634
年:
2015
卷:
52
期:
2
页码:
661-677
基金类别:
science and technology research project of Hubei Provincial Department of Education [D20142702]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
In this paper, we consider the following Kirchhoff-type Schrodinger system -(a(1) + b(1) integral(R3) \del u\(2)dx) Delta u + gamma V(x)u = 2 alpha/alpha + beta\u\(alpha-2)u\v\(beta) in R-3, -(a(2) + b(2) integral(R3) \del v\(2)dx) Delta v + gamma W(x)v = 2 beta/alpha + beta\u\(alpha)\v\(beta-2)v in R-3, u, v is an element of H-1(R-3), where a(i) and b(i) are positive constants for i = 1,2, gamma > 0 is a parameter, V(x) and W(x) are nonnegative continuous potential functions. By applying the Nehari manifold method and the concentration-compactness principle, we obtain the existence and concen...

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