Positive solutions for some singular critical growth nonlinear elliptic equations

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	Positive solutions for some singular critical growth nonlinear elliptic equations
	Cao, DM ; He, XM ; Peng, SJ
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2005-02-01
卷号	60 期号:3 页码:589-609
关键词	positive solutions compactness critical Sobolev exponents hardy inequality singular elliptic equation
英文摘要	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.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	CRITICAL SOBOLEV EXPONENTS ; EXTREMAL-FUNCTIONS ; EXISTENCE ; INEQUALITIES
收录类别	SCI
语种	英语
WOS记录号	WOS:000225679800013
公开日期	2015-07-28
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/4526]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
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.