A note on solutions for asymptotically linear elliptic systems

doi:10.1007/s10255-008-8043-8

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	A note on solutions for asymptotically linear elliptic systems
	Zhao, Lei-ga 1,2; Zhao, Fu-kun 2,3
	2008
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	24 期号:3 页码:511-522
摘要	In this paper, we are concerned with the elliptic system of {-Delta u + V(x)u = g(x, v), x is an element of R(N), -Delta v + V(x)v = f(x, u), x is an element of R(N), where V(x) is a continuous potential well, f, g are continuous and asymptotically linear as t --> infinity. The existence of a positive solution and ground state solution are established via variational methods.
关键词	elliptic system ground state solution variational methods concentration-compactness principle
DOI	10.1007/s10255-008-8043-8
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000258178200014
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5491
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Lei-ga
作者单位	1.Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Lei-ga,Zhao, Fu-kun. A note on solutions for asymptotically linear elliptic systems[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2008,24(3):511-522.
APA	Zhao, Lei-ga,&Zhao, Fu-kun.(2008).A note on solutions for asymptotically linear elliptic systems.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,24(3),511-522.
MLA	Zhao, Lei-ga,et al."A note on solutions for asymptotically linear elliptic systems".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 24.3(2008):511-522.