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
	2008-11-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	69 期号:9 页码:2968-2983
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.
关键词	Elliptic system Energy functional Palais-Smale condition Critical point
DOI	10.1016/j.na.2007.08.073
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000260103900020
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/6253
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.