ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS

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	ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS
	Zhang, Zhitao1 ; Qi, Zexin 2
	2015-12-01
发表期刊	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN	1230-3429
卷号	46 期号:2 页码:717-729
摘要	We 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.
关键词	System of Monge-Ampere equations cone fixed point index generalized Krein-Rutman theorem
语种	英语
资助项目	NSFC[11325107] ; NSFC[11271353] ; NSFC[11331010]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000368961400010
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/21875
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.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
推荐引用方式 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.