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ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS
Zhang, Zhitao1; Qi, Zexin2
2015-12-01
Source PublicationTOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN1230-3429
Volume46Issue:2Pages:717-729
AbstractWe study an elliptic system coupled by Monge-Ampere equations: {detD(u1)(2) = (-u(2))(alpha) in Omega, detD(u2)(2) = (-u(1))(beta) in Omega, u(1) < 0, u(2) < 0 in Omega, u(1) = u(2) = 0 on partial derivative Omega, here Omega is a smooth, bounded and strictly convex domain in R-N, N >= 2, alpha > 0, beta > 0. When Omega is the unit ball in R-N, we use index theory of fixed points for completely continuous operators to get existence, uniqueness results and nonexistence of radial convex solutions under some corresponding assumptions on alpha, beta. When alpha > 0, beta > 0 and alpha beta = N-2 we also study a corresponding eigenvalue problem in more general domains.
KeywordSystem of Monge-Ampere equations cone fixed point index generalized Krein-Rutman theorem
Language英语
Funding ProjectNSFC[11325107] ; NSFC[11271353] ; NSFC[11331010]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000368961400010
PublisherJULIUSZ SCHAUDER CTR NONLINEAR STUDIES
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21875
Collection数学所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Zhitao,Qi, Zexin. ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2015,46(2):717-729.
APA Zhang, Zhitao,&Qi, Zexin.(2015).ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,46(2),717-729.
MLA Zhang, Zhitao,et al."ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 46.2(2015):717-729.
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