Multiple Solutions for Asymptotically Linear Elliptic Systems

doi:10.1007/s00030-008-7080-6

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	Multiple Solutions for Asymptotically Linear Elliptic Systems
	Zhao, Fukun 1,2; Zhao, Leiga 2; Ding, Yanheng2
	2008-12-01
发表期刊	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
ISSN	1021-9722
卷号	15 期号:6 页码:673-688
摘要	This paper is concerned with the following periodic Hamiltonian elliptic system {-Delta u + V(x)u = g(x,v) in R-N, -Delta v + V(x)v = f(x,u) in R-N, u(x) -> 0 and v(x) -> 0 as vertical bar x vertical bar -> infinity, where the potential V is periodic and has a positive bound from below, f(x, t) and g( x, t) are periodic in x, asymptotically linear in t as vertical bar t vertical bar -> infinity. By using critical point theory of strongly indefinite functionals, existence of a positive ground state solution as well as infinitely many geometrically distinct solutions for odd f and g are obtained.
关键词	Hamiltonian elliptic system variational method strongly indefinite functional
DOI	10.1007/s00030-008-7080-6
语种	英语
资助项目	NSFC[10561011] ; NSFC[10671195] ; Foundation of Education Commission of Yunnan Province, China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000261985800002
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6443
专题	数学所
通讯作者	Zhao, Fukun
作者单位	1.Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Fukun,Zhao, Leiga,Ding, Yanheng. Multiple Solutions for Asymptotically Linear Elliptic Systems[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,2008,15(6):673-688.
APA	Zhao, Fukun,Zhao, Leiga,&Ding, Yanheng.(2008).Multiple Solutions for Asymptotically Linear Elliptic Systems.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,15(6),673-688.
MLA	Zhao, Fukun,et al."Multiple Solutions for Asymptotically Linear Elliptic Systems".NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 15.6(2008):673-688.