Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients

doi:10.1016/j.na.2006.02.032

CSpace

	Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients
	Chen, Shaowei ; Li, Shujie
	2007-01-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	66 期号:2 页码:324-348
摘要	We study some semilinear elliptic equations with singular coefficients which relate to some Hardy-Sobolev inequalities. We obtain some existence results for these equations and give a theorem for prescribing the Palais-Smale sequence for these equations. Moreover, we find some interesting connections between these equations and some semilinear elliptic equations in hyperbolic space. Using these connections, we obtain many new results for these equations. (c) 2006 Published by Elsevier Ltd.
关键词	Hardy-Sobolev inequalities semilinear equations Palais-Smale sequence hyperbolic space
DOI	10.1016/j.na.2006.02.032
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000242976200004
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/4540
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Shaowei
作者单位	1.Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China 2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Shaowei,Li, Shujie. Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,66(2):324-348.
APA	Chen, Shaowei,&Li, Shujie.(2007).Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,66(2),324-348.
MLA	Chen, Shaowei,et al."Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 66.2(2007):324-348.