ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS
文献类型：期刊论文
| 作者 | Zhang, Zhitao1 ; Qi, Zexin2
|
| 刊名 | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
 |
| 出版日期 | 2015-12-01 |
| 卷号 | 46期号:2页码:717-729 |
| 关键词 | System of Monge-Ampere equations cone fixed point index generalized Krein-Rutman theorem |
| ISSN号 | 1230-3429 |
| 英文摘要 | 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. |
| 资助项目 | NSFC[11325107] ; NSFC[11271353] ; NSFC[11331010] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000368961400010 |
| 出版者 | JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21874]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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