Multiple solutions for a class of nonlinear Schrodinger equations

doi:10.1016/j.jde.2004.07.030

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	Multiple solutions for a class of nonlinear Schrodinger equations
	Ding, YH; Luan, SX
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2004-12-15
卷号	207 期号:2 页码:423-457
关键词	Schrodinger equation multibump solution critical points
ISSN号	0022-0396
DOI	10.1016/j.jde.2004.07.030
英文摘要	In this paper, we find new conditions to ensure the existence of infinitely many homoclinic type solutions for the Schrodinger equation -Deltau + V(x)u = g(x, u) for x is an element of R-N. Assuming V(x) and g(x, it) depend periodically on x, we deal with the situations where g(x, u) is, as \u\ --> infinity, asymptotically linear, or superlinear with certain hypothesis different from ones used in previous related study. Our approach is variational and we use the Cerami condition instead of the Palais-Smale one for deformation arguments. (C) 2004 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000225508300008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19298]
专题	数学所
通讯作者	Ding, YH
作者单位	Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, YH,Luan, SX. Multiple solutions for a class of nonlinear Schrodinger equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2004,207(2):423-457.
APA	Ding, YH,&Luan, SX.(2004).Multiple solutions for a class of nonlinear Schrodinger equations.JOURNAL OF DIFFERENTIAL EQUATIONS,207(2),423-457.
MLA	Ding, YH,et al."Multiple solutions for a class of nonlinear Schrodinger equations".JOURNAL OF DIFFERENTIAL EQUATIONS 207.2(2004):423-457.