Solutions of a class of Hamiltonian elliptic systems in R-N

doi:10.1016/j.jmaa.2009.07.052

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	Solutions of a class of Hamiltonian elliptic systems in R-N
	Yang, Minbo 1,2; Chen, Wenxiong 2; Ding, Yanheng 2
	2010-02-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	362 期号:2 页码:338-349
摘要	We study the existence of ground state solutions for the following elliptic systems in R-N {-Delta u + b . del(x)u + u = H-v (x, u, v), -Delta v - b . del(x)v + v = H-u (x, u, v), where b = (b(1),...,b(N)) is a constant vector and H is an element of C-1(R-N x R-2, R) is nonperiodic in variables x and super-quadratic as vertical bar z vertical bar -> infinity. By a recent critical point theorem for strongly indefinite problem, we obtain the existence of at least one ground state solution. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Variational methods Ground state solution Superlinear Critical points
DOI	10.1016/j.jmaa.2009.07.052
语种	英语
资助项目	Natural Science Foundation of Zhejiang Province[Y7080008] ; National Natural Science Foundation of China[NSFC10831005]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000271878300006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10809
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Minbo
作者单位	1.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang, Minbo,Chen, Wenxiong,Ding, Yanheng. Solutions of a class of Hamiltonian elliptic systems in R-N[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,362(2):338-349.
APA	Yang, Minbo,Chen, Wenxiong,&Ding, Yanheng.(2010).Solutions of a class of Hamiltonian elliptic systems in R-N.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,362(2),338-349.
MLA	Yang, Minbo,et al."Solutions of a class of Hamiltonian elliptic systems in R-N".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 362.2(2010):338-349.