Positive solutions for some singular critical growth nonlinear elliptic equations

doi:10.1016/j.na.2004.08.042

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	Positive solutions for some singular critical growth nonlinear elliptic equations
	Cao, DM; He, XM ; Peng, SJ
	2005-02-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	60 期号:3 页码:589-609
摘要	Let Omega be a bounded domain in R-N (N greater than or equal to 4) with smooth boundary partial derivativeOmega and the origin 0 is an element of Omega, mu < ((N - 2)/2)(2), 2* = 2N/(N - 2), K(x) is a smooth function on Omega and positive somewhere. We obtain existence results of positive solutions to the Dirichlet problem -Deltau = mu u/\x\(2) + K(x)\u\(2)*(-2)u + f (x, u) on Omega, u = 0 on partial derivativeOmega for various K(x) and suitable number mu. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	positive solutions compactness critical Sobolev exponents hardy inequality singular elliptic equation
DOI	10.1016/j.na.2004.08.042
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000225679800013
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/1948
专题	应用数学研究所
通讯作者	Peng, SJ
作者单位	1.Xiaogan Univ, Dept Math, Xiaogan 432100, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Cao, DM,He, XM,Peng, SJ. Positive solutions for some singular critical growth nonlinear elliptic equations[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2005,60(3):589-609.
APA	Cao, DM,He, XM,&Peng, SJ.(2005).Positive solutions for some singular critical growth nonlinear elliptic equations.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,60(3),589-609.
MLA	Cao, DM,et al."Positive solutions for some singular critical growth nonlinear elliptic equations".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 60.3(2005):589-609.