EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM

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	EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM
	Zhang, Zhitao1 ; Cheng, Xiyou 1,2
	2011-03-01
发表期刊	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN	1230-3429
卷号	37 期号:1 页码:103-116
摘要	In this paper, we are concerned with the existence of (component-wise) positive solutions for a semilinear elliptic system, where the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing a cone K(1) x K(2) which is the Cartesian product of two cones in space C((Omega) over bar) and computing the fixed point index in K(1) x K(2), we establish the existence of positive solutions for the system. It is remarkable that we deal with our problem on the Cartesian product of two cones, in which the features of two equations can be exploited better.
关键词	Positive solutions elliptic system fixed point index
语种	英语
资助项目	NSFC[10831005] ; NSFC[10971046] ; China Postdoctoral Science Foundation[20090450601] ; NSF of Jiangsu Province of China[08KJD110010] ; NSF of Jiangsu Province of China[10KJB110004] ; NSF of Jiangsu Province of China[NSK2009/B06]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000290820000005
出版者	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12716
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Nanjing Audit Univ, Dept Appl Math, Nanjing 210029, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhitao,Cheng, Xiyou. EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2011,37(1):103-116.
APA	Zhang, Zhitao,&Cheng, Xiyou.(2011).EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,37(1),103-116.
MLA	Zhang, Zhitao,et al."EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 37.1(2011):103-116.