Solutions with prescribed number of nodes to superlinear elliptic systems

doi:10.1016/j.na.2003.07.014

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	Solutions with prescribed number of nodes to superlinear elliptic systems
	Cao, DM; Tang, ZW
	2003-12-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	55 期号:6 页码:707-722
摘要	We consider a class of elliptic systems in the following form: -DeltaU + U = delE(U), U(x) epsilon R-2 with x epsilon R-N. We prove the existence of infinitely many solutions which are characterized by the number of nodes of each component. Our argument is based upon an extension of the results of Terracini and Verzini (Nonlinear Differential Equations Appl. 8 (2001) 323). (C) 2003 Elsevier Ltd. All rights reserved.
关键词	nodal solutions superlinear elliptic systems critical point variational method
DOI	10.1016/j.na.2003.07.014
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000186352900006
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18909
专题	应用数学研究所
通讯作者	Cao, DM
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cao, DM,Tang, ZW. Solutions with prescribed number of nodes to superlinear elliptic systems[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2003,55(6):707-722.
APA	Cao, DM,&Tang, ZW.(2003).Solutions with prescribed number of nodes to superlinear elliptic systems.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,55(6),707-722.
MLA	Cao, DM,et al."Solutions with prescribed number of nodes to superlinear elliptic systems".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 55.6(2003):707-722.