CSpace
The existence of positive solution of elliptic system by a linking theorem on product space
Zhao, PH; Wang, XY
2004
Source PublicationNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN0362-546X
Volume56Issue:2Pages:227-240
AbstractThis 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.
Keywordnonlinear elliptic system linking theorem nontrivial positive solution variational arguments Nehari manifolds
DOI10.1016/j.na.2003.09.010
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000188297900005
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19574
Collection中国科学院数学与系统科学研究院
Affiliation1.Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Beijing, Peoples R China
Recommended Citation
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.
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