Critical points and positive solutions of singular elliptic boundary value problems

doi:10.1016/j.jmaa.2004.08.016

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	Critical points and positive solutions of singular elliptic boundary value problems
	Zhang, ZT
	2005-02-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	302 期号:2 页码:476-483
摘要	Usually we do not think there is variational structure for singular elliptic boundary value problems, so it cannot be considered by using critical points theory. In this paper, we use critical theory on certain convex closed sets to solve positive solutions for singular elliptic boundary value problems, especially use the ordinary differential equation theory of Banach spaces to obtain new results on the existence of multiple positive solutions. The method is useful for other singular problems. (C) 2004 Elsevier Inc. All rights reserved.
关键词	critical points singular problems positive solutions
DOI	10.1016/j.jmaa.2004.08.016
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000226175700019
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/2271
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, ZT
作者单位	Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, ZT. Critical points and positive solutions of singular elliptic boundary value problems[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2005,302(2):476-483.
APA	Zhang, ZT.(2005).Critical points and positive solutions of singular elliptic boundary value problems.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,302(2),476-483.
MLA	Zhang, ZT."Critical points and positive solutions of singular elliptic boundary value problems".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 302.2(2005):476-483.