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ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL
Zhao, Fukun1; Ding, Yanheng2
2009-03-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN1078-0947
Volume23Issue:3Pages:1073-1086
AbstractThis paper is concerned with the following non-periodic diffusion system {partial derivative(t)u - Delta(x)u + b(t, x) . del(x)u + V (x)u = H-v (t, x, u, v) in R x R-N, -partial derivative(t)v - Delta(x)v - b(t, x) . del(x)v + V (x)v = H-u (t, x, u, v) in R x R-N, u(t, x) -> 0 and v(t, x) -> 0 as |t| + |x| -> infinity. Assuming the potential V is bounded and has a positive bound from below, existence and multiplicity of solutions are obtained for the system with asymptotically quadratic nonlinearities via variational approach.
KeywordDiffusion system variational methods strongly indefinite functionals
DOI10.3934/dcds.2009.23.1073
Language英语
Funding ProjectNSFC[10561011] ; NSFC[10671195] ; NSFY of Yunnan Province, China
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000260923500024
PublisherAMER INST MATHEMATICAL SCIENCES
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9087
Collection数学所
Corresponding AuthorZhao, Fukun
Affiliation1.Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhao, Fukun,Ding, Yanheng. ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2009,23(3):1073-1086.
APA Zhao, Fukun,&Ding, Yanheng.(2009).ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,23(3),1073-1086.
MLA Zhao, Fukun,et al."ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 23.3(2009):1073-1086.
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