Existence of solutions for singular elliptic systems with critical exponents

doi:10.1016/j.na.2007.08.073

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	Existence of solutions for singular elliptic systems with critical exponents
	Liu, Zhaoxia 2; Han, Pigong1
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2008-11-01
卷号	69 期号:9 页码:2968-2983
关键词	Elliptic system Energy functional Palais-Smale condition Critical point
ISSN号	0362-546X
DOI	10.1016/j.na.2007.08.073
英文摘要	Let Omega ?? 0 be an open bounded domain in RN (N >= 3) and 2* = 2N/N-2. We consider the following elliptic system of two equations in H-0(1)(Omega): -Delta u - t u/\|x\|(2) = 2 alpha/alpha+beta \|u\|(alpha-2)u\|nu\|(beta) + lambda u. -Delta nu - 1 nu/\|x\|(2) = 2 beta/alpha+beta \|u\|(alpha)\|nu\|(beta-2)nu + mu nu. () where lambda. h > 0 and alpha, beta > 1 satisfy alpha + beta = 2. Using Moser iteration, we prove the asymptotic behavior of solutions for () at the orgin. By exploiting the mountain pass theorem, we establish the existence of solutions to (). We also discuss sign-changing solutions for (*) in this paper. (C) 2007 Elsevier Ltd. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000260103900020
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/6252]
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	1.Chinese Acad Sci, Sch Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Natl Cent Univ, Sch Sci, Dept Informat & Comp Sci, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Liu, Zhaoxia,Han, Pigong. Existence of solutions for singular elliptic systems with critical exponents[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2008,69(9):2968-2983.
APA	Liu, Zhaoxia,&Han, Pigong.(2008).Existence of solutions for singular elliptic systems with critical exponents.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,69(9),2968-2983.
MLA	Liu, Zhaoxia,et al."Existence of solutions for singular elliptic systems with critical exponents".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 69.9(2008):2968-2983.