The existence of positive solution of elliptic system by a linking theorem on product space

doi:10.1016/j.na.2003.09.010

CSpace

	The existence of positive solution of elliptic system by a linking theorem on product space
	Zhao, PH ; Wang, XY
	2004
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	56 期号:2 页码:227-240
摘要	This paper is devoted to study the existence of nontrivial positive solution of a class of elliptic system with Dirichlet Data. By using the abstract linking theorems on product space we established in Zhao et al. (Nonlinear Anal. 49 (2002) 431) we obtain the existence of three nonnegative solutions for a class of elliptic systems and the existence of a nontrivial positive solution for the problem related to the model of competing species systems involving critical Sobolev exponents. (C) 2003 Elsevier Ltd. All rights reserved.
关键词	nonlinear elliptic system linking theorem nontrivial positive solution variational arguments Nehari manifolds
DOI	10.1016/j.na.2003.09.010
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000188297900005
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/19574
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, PH
作者单位	1.Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhao, PH,Wang, XY. The existence of positive solution of elliptic system by a linking theorem on product space[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2004,56(2):227-240.
APA	Zhao, PH,&Wang, XY.(2004).The existence of positive solution of elliptic system by a linking theorem on product space.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,56(2),227-240.
MLA	Zhao, PH,et al."The existence of positive solution of elliptic system by a linking theorem on product space".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 56.2(2004):227-240.