An elliptic equation with combined critical Sobolev-Hardy terms

doi:10.1016/j.na.2005.10.035

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	An elliptic equation with combined critical Sobolev-Hardy terms
	Gao, Wenliang ; Peng, Shuangjie
	2006-10-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	65 期号:8 页码:1595-1612
摘要	Let ohm be a bounded domain in R-N (N >= 3) with the origin 0 is an element of ohm, mu < ((N - 2)/2)(2), 2(s) = 2(N - s)/(N - 2); K(x) >= 0 and Q(x) >= 0 are two smooth functions on ohm. In this paper, we investigate the singular elliptic equation -Delta u = mu u/vertical bar x vertical bar(2) + K(x) u(2(s)-1)/vertical bar x vertical bar(s) + Q(x) u(2*(t)-1)/vertical bar x-x(0)vertical bar(t) + f(x, u) with Dirichlet boundary conditions. We study the limit behavior of the (RS.) sequence of the corresponding energy functional and give a global compactness theorem, and then give some existence results. (c) 2005 Elsevier Ltd. All rights reserved.
关键词	Sobolev-Hardy terms compactness
DOI	10.1016/j.na.2005.10.035
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000239850300007
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/3177
专题	中国科学院数学与系统科学研究院
通讯作者	Peng, Shuangjie
作者单位	1.Chinese Acad Sci, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Gao, Wenliang,Peng, Shuangjie. An elliptic equation with combined critical Sobolev-Hardy terms[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2006,65(8):1595-1612.
APA	Gao, Wenliang,&Peng, Shuangjie.(2006).An elliptic equation with combined critical Sobolev-Hardy terms.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,65(8),1595-1612.
MLA	Gao, Wenliang,et al."An elliptic equation with combined critical Sobolev-Hardy terms".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 65.8(2006):1595-1612.