Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0

doi:10.1007/s10440-009-9521-6

CSpace

	Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0
	Yang, Minbo 1,2; Chen, Wenxiong 1; Ding, Yanheng 1
	2010-06-01
发表期刊	ACTA APPLICANDAE MATHEMATICAE
ISSN	0167-8019
卷号	110 期号:3 页码:1475-1488
摘要	In this paper we study the discrete nonlinear equation -Delta u(n) + epsilon(n)u(n) - omega u(n) = sigma chi(n)g(n)(u(n))u(n), where sigma = +/-1, Delta u(n) = u(n+1) + u(n-1) - 2u(n) is the discrete Laplacian in one spatial dimension. The sequences epsilon(n) and chi(n) are assumed to be N-periodic in n, i.e. epsilon(n+N) = epsilon(n) and chi(n+N) = chi(n). We prove the existence of solutions in l(2) for this equation with. a lower edge of a finite spectral gap and the nonlinearities satisfying very general superlinear assumptions.
关键词	Discrete Schrodinger equation Standing waves Nonlinear lattices
DOI	10.1007/s10440-009-9521-6
语种	英语
资助项目	Natural Science Foundation of Zhejiang Province[Y7080008] ; National Natural Science Foundation[NSFC10831005] ; National Natural Science Foundation[NSFC10640420049] ; 973 Program[2007CB814800]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000276865800028
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10732
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Minbo
作者单位	1.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 2.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
推荐引用方式 GB/T 7714	Yang, Minbo,Chen, Wenxiong,Ding, Yanheng. Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0[J]. ACTA APPLICANDAE MATHEMATICAE,2010,110(3):1475-1488.
APA	Yang, Minbo,Chen, Wenxiong,&Ding, Yanheng.(2010).Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0.ACTA APPLICANDAE MATHEMATICAE,110(3),1475-1488.
MLA	Yang, Minbo,et al."Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0".ACTA APPLICANDAE MATHEMATICAE 110.3(2010):1475-1488.