Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms

doi:10.1016/j.jde.2005.03.011

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	Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms
	Ding, YH ; Lee, C
	2006-03-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	222 期号:1 页码:137-163
摘要	Based on new information concerning strongly indefinite functionals without Palais-Smale conditions, we study existence and multiplicity of solutions of the 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 and g are periodic with respect to x and 0 lies in a gap sigma(-Delta+V). Supposing g is asymptotically linear as vertical bar u vertical bar -> infinity and symmetric in u, we obtain infinitely many geometrically distinct solutions. We also consider the situation where g is super linear with mild assumptions different from those studied previously, and establish the existence and multiplicity. (c) 2005 Elsevier Inc. All rights reserved.
关键词	Schrodinger equation indefinite asymptotically linear infinitely many solutions
DOI	10.1016/j.jde.2005.03.011
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000235561300005
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/3288
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, YH
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Natl Changhua Univ Educ, Dept Math, Changhua 50057, Taiwan
推荐引用方式 GB/T 7714	Ding, YH,Lee, C. Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,222(1):137-163.
APA	Ding, YH,&Lee, C.(2006).Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms.JOURNAL OF DIFFERENTIAL EQUATIONS,222(1),137-163.
MLA	Ding, YH,et al."Multiple solutions of Schrodinger equations with indefinite linear part and super or asymptotically linear terms".JOURNAL OF DIFFERENTIAL EQUATIONS 222.1(2006):137-163.