Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities

doi:10.1016/j.jmaa.2009.10.022

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	Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities
	Yang, Minbo 1,2; Chen, Wenxiong 2; Ding, Yanheng 2
	2010-04-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	364 期号:2 页码:404-413
摘要	In this paper we consider the following Schrodinger equation: {-Delta u + V(x)u = g(x, u) for x is an element of R-N, u(x) -> 0 as vertical bar x vertical bar -> infinity, where V(x) and g(x, u) are periodic with respect to x and 0 is a boundary point of the spectrum sigma(-Delta + V). Replacing the classical Ambrosetti-Rabinowitz superlinear assumption on g(x, u) by a general super-quadratic condition, we are able to obtain the existence of nontrivial solutions. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Schrodinger equation Ambrosetti-Rabinowitz condition Concentration-compactness principle
DOI	10.1016/j.jmaa.2009.10.022
语种	英语
资助项目	Natural Science Foundation of Zhejiang Province[Y7080008] ; Natural Science Foundation of Zhejiang Province[R6090109] ; NSFC[10971194] ; NSFC[NSFC10831005]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000273958300008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10260
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.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Minbo,Chen, Wenxiong,Ding, Yanheng. Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,364(2):404-413.
APA	Yang, Minbo,Chen, Wenxiong,&Ding, Yanheng.(2010).Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,364(2),404-413.
MLA	Yang, Minbo,et al."Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 364.2(2010):404-413.