ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL

doi:10.3934/dcds.2009.23.1073

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	ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL
	Zhao, Fukun 1; Ding, Yanheng2
	2009-03-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	23 期号:3 页码:1073-1086
摘要	This 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.
关键词	Diffusion system variational methods strongly indefinite functionals
DOI	10.3934/dcds.2009.23.1073
语种	英语
资助项目	NSFC[10561011] ; NSFC[10671195] ; NSFY of Yunnan Province, China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000260923500024
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9087
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, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 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.