Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential

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	Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
	Kang, DS ; Peng, SJ
刊名	APPLIED MATHEMATICS LETTERS
	2005-10-01
卷号	18 期号:10 页码:1094-1100
关键词	nontrivial solutions compactness critical Sobolev-Hardy exponents singularity
英文摘要	Let ohm subset of R-N be a smooth bounded domain such that 0 is an element of ohm, N >= 5, 0 <= s < 2, 2(s) = 2(N-s)/N-2. We prove the existence of nontrivial solutions for the singular critical problem - Delta u - mu(u//x/(2)) = (/u/(2(s) - 2)//x/(s))u + lambda u with Dirichlet boundary condition on ohm for all lambda > 0 and 0 <= mu < (N - 2/2)(2) - (N+2/N)(2). (c) 2005 Elsevier Ltd. All rights reserved.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
关键词[WOS]	EXISTENCE ; EQUATIONS
收录类别	SCI
语种	英语
WOS记录号	WOS:000231839500003
公开日期	2015-07-28
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/4479]
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.S Cent Univ Nationalities, Dept Math, Wuhan 430074, Peoples R China 2.Xiaogan Univ, Dept Math, Xiaogan 432100, 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	Kang, DS,Peng, SJ. Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential[J]. APPLIED MATHEMATICS LETTERS,2005,18(10):1094-1100.
APA	Kang, DS,&Peng, SJ.(2005).Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential.APPLIED MATHEMATICS LETTERS,18(10),1094-1100.
MLA	Kang, DS,et al."Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential".APPLIED MATHEMATICS LETTERS 18.10(2005):1094-1100.