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EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM

文献类型：期刊论文

作者Zhang, Zhitao1; Cheng, Xiyou1,2
刊名TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
出版日期2011-03-01
卷号37期号:1页码:103-116
关键词Positive solutions elliptic system fixed point index
ISSN号1230-3429
英文摘要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.
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
语种英语
WOS记录号WOS:000290820000005
出版者JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12715]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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