Solutions to critical elliptic equations with multi-singular inverse square potentials

doi:10.1016/j.jde.2005.07.010

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	Solutions to critical elliptic equations with multi-singular inverse square potentials
	Cao, DM; Han, PG
	2006-05-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	224 期号:2 页码:332-372
摘要	Let Omega be an open-bounded domain in RN (N >= 3) with smooth boundary partial derivative Omega. We are concerned with the multi-singular critical elliptic problem [GRAPHICS] where mu(i) is an element of R, 2* = 2N/N-2, a(i) is an element of Omega (1 <= i <= k) and Q (x) is a positive bounded function on Omega. Using Moser iteration, we prove the asymptotic behavior of solutions for () at points a(i) (1 <= i <= k). By exploiting the effect of the coefficient of the critical nonlinearity, we, by means of a variational method, establish the existence of positive and sign-changing solutions for problem (). (c) 2005 Elsevier Inc. All rights reserved.
关键词	semilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent
DOI	10.1016/j.jde.2005.07.010
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000237877000006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2450
专题	应用数学研究所
通讯作者	Cao, DM
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cao, DM,Han, PG. Solutions to critical elliptic equations with multi-singular inverse square potentials[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,224(2):332-372.
APA	Cao, DM,&Han, PG.(2006).Solutions to critical elliptic equations with multi-singular inverse square potentials.JOURNAL OF DIFFERENTIAL EQUATIONS,224(2),332-372.
MLA	Cao, DM,et al."Solutions to critical elliptic equations with multi-singular inverse square potentials".JOURNAL OF DIFFERENTIAL EQUATIONS 224.2(2006):332-372.