Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth

doi:10.1007/s10231-005-0150-z

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	Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth
	Cao, Daomin; Peng, Shuangjie
刊名	ANNALI DI MATEMATICA PURA ED APPLICATA
	2006-06-01
卷号	185 期号:2 页码:189-205
关键词	asymptotic behavior singularity critical Sobolev Hardy exponents
ISSN号	0373-3114
DOI	10.1007/s10231-005-0150-z
英文摘要	Let B-R subset of R-N (N >= 3) be a ball centered at the origin with radius R. We investigate the asymptotic behavior of positive solutions for the Dirichlet problem -Delta U = mu u/vertical bar x vertical bar(2) + u(2*-1-epsilon), u > 0 in B-R, u = 0 on partial derivative B-R when epsilon -> 0(+) for suitable positive numbers mu.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000240467700002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3605]
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Peng, Shuangjie. Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2006,185(2):189-205.
APA	Cao, Daomin,&Peng, Shuangjie.(2006).Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth.ANNALI DI MATEMATICA PURA ED APPLICATA,185(2),189-205.
MLA	Cao, Daomin,et al."Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth".ANNALI DI MATEMATICA PURA ED APPLICATA 185.2(2006):189-205.