Perturbations from symmetric elliptic boundary value problems

doi:10.1006/jdeq.2001.4160

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	Perturbations from symmetric elliptic boundary value problems
	Li, SJ ; Liu, ZL
	2002-10-10
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	185 期号:1 页码:271-280
摘要	We study the Multiplicity Of Solutions for the elliptic problem -Deltau = f(x,u) + eg(x,u) in Omega and u = 0 on partial derivativeOmega, where epsilon is a parameter, Omega is a smooth bounded domain in R-N, f is an element of C((&UOmega;) over bar x R), f(x, t) is odd with respect to t, and y is an element of C((&UOmega;) over bar x R). Under suitable conditions only on f, we prove that for any j is an element of N there exists epsilon(j) > 0 such that if \epsilon\ less than or equal to epsilon(j) then the above problem possesses at least j distinct solutions. (C) 2002 Elsevier Science (USA).
关键词	perturbation symmetry elliptic boundary value problems multiple solutions
DOI	10.1006/jdeq.2001.4160
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000179255200012
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/16966
专题	中国科学院数学与系统科学研究院
通讯作者	Li, SJ
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Shandong Univ, Dept Math, Jinan 250100, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Liu, ZL. Perturbations from symmetric elliptic boundary value problems[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,185(1):271-280.
APA	Li, SJ,&Liu, ZL.(2002).Perturbations from symmetric elliptic boundary value problems.JOURNAL OF DIFFERENTIAL EQUATIONS,185(1),271-280.
MLA	Li, SJ,et al."Perturbations from symmetric elliptic boundary value problems".JOURNAL OF DIFFERENTIAL EQUATIONS 185.1(2002):271-280.