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Multiple Solutions for Asymptotically Linear Elliptic Systems
Zhao, Fukun1,2; Zhao, Leiga2; Ding, Yanheng2
2008-12-01
Source PublicationNODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
ISSN1021-9722
Volume15Issue:6Pages:673-688
AbstractThis 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.
KeywordHamiltonian elliptic system variational method strongly indefinite functional
DOI10.1007/s00030-008-7080-6
Language英语
Funding ProjectNSFC[10561011] ; NSFC[10671195] ; Foundation of Education Commission of Yunnan Province, China
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000261985800002
PublisherSPRINGER BASEL AG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/6443
Collection数学所
Corresponding AuthorZhao, Fukun
Affiliation1.Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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