On a nonlinear elliptic eigenvalue problem

doi:10.1016/j.jmaa.2005.02.061

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	On a nonlinear elliptic eigenvalue problem
	Chen, SW; Li, SJ
	2005-07-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	307 期号:2 页码:691-698
摘要	Let N(lambda) be the number of the solutions of the equation: -Delta u = lambda f(u) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded domain in R-N (N >= 2) with smooth boundary. Under suitable conditions on f, we proved that N(lambda) + infinity as lambda -> + infinity. (c) 2005 Elsevier Inc. All rights reserved.
关键词	nonlinear eigenvalue problem perturbation from symmetry minimax theorem
DOI	10.1016/j.jmaa.2005.02.061
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000229724700022
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/1286
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, SW
作者单位	Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, SW,Li, SJ. On a nonlinear elliptic eigenvalue problem[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2005,307(2):691-698.
APA	Chen, SW,&Li, SJ.(2005).On a nonlinear elliptic eigenvalue problem.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,307(2),691-698.
MLA	Chen, SW,et al."On a nonlinear elliptic eigenvalue problem".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 307.2(2005):691-698.