A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian

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	A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian
	Agarwal, RP ; Lu, HS ; O'Regan, D
	2003
发表期刊	ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN	0232-2064
卷号	22 期号:3 页码:689-709
摘要	This paper studies the boundary value problem (phi(p)(u'))' + q(t)(f(u) + g(u)) = 0 (0 < t < 1) u(0) = u(1) = 0 in the case p > 1. A necessary and sufficient condition for the existence of C-1[0, 1] positive solutions and a sufficient condition for the existence of C[0, 1] positive solutions are presented.
关键词	singular boundary value problems positive solutions existence conditions for solutions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000187354000011
出版者	HELDERMANN VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18569
专题	中国科学院数学与系统科学研究院
通讯作者	Agarwal, RP
作者单位	1.Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Nat Univ Ireland, Dept Math, Galway, Ireland
推荐引用方式 GB/T 7714	Agarwal, RP,Lu, HS,O'Regan, D. A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN,2003,22(3):689-709.
APA	Agarwal, RP,Lu, HS,&O'Regan, D.(2003).A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian.ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN,22(3),689-709.
MLA	Agarwal, RP,et al."A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian".ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 22.3(2003):689-709.