On the solution of dirichlet's problem of the complex monge-ampere equation for the cartan-hartogs domain of the first type
文献类型：期刊论文
| 作者 | Yin, Weiping2; Yin, Xiaolan1,3 |
| 刊名 | Nonlinear analysis-theory methods & applications
 |
| 出版日期 | 2008-10-01 |
| 卷号 | 69期号:7页码:2077-2085 |
| 关键词 | Complex monge-ampere equation Dirichlet's problem Cartan-hartogs domain Kaehler-einstein metric |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2007.07.046 |
| 通讯作者 | Yin, xiaolan(wyin@mail.cnu.edu.cn) |
| 英文摘要 | The complex monge-ampere equation is a nonlinear equation with high degree; therefore getting its solution is very difficult. in the present paper how to get the solution of dirichlet's problem of the complex monge-ampere equation on the cartan-hartogs domain of the first type is discussed, using an analytic method. firstly, the complex monge-ampere equation is reduced to a nonlinear ordinary differential equation, then the solution of dirichlet's problem of the complex monge-ampere equation is reduced to the solution of a two-point boundary value problem for a nonlinear second-order ordinary differential equation. secondly, the solution of dirichlet's problem is given as a semi-explicit formula, and in a special case the exact solution is obtained. these results may be helpful for a numerical method approach to dirichlet's problem of the complex monge-ampere equation on the cartan-hartogs domain of the first type. (c) 2007 elsevier ltd. all rights reserved. |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258359300015 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2384963 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Yin, Xiaolan |
| 作者单位 | 1.Chinese Acad Sci, Inst Software, Technol Ctr Software Engn, Beijing 100080, Peoples R China 2.Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China 3.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yin, Weiping,Yin, Xiaolan. On the solution of dirichlet's problem of the complex monge-ampere equation for the cartan-hartogs domain of the first type[J]. Nonlinear analysis-theory methods & applications,2008,69(7):2077-2085. |
| APA | Yin, Weiping,&Yin, Xiaolan.(2008).On the solution of dirichlet's problem of the complex monge-ampere equation for the cartan-hartogs domain of the first type.Nonlinear analysis-theory methods & applications,69(7),2077-2085. |
| MLA | Yin, Weiping,et al."On the solution of dirichlet's problem of the complex monge-ampere equation for the cartan-hartogs domain of the first type".Nonlinear analysis-theory methods & applications 69.7(2008):2077-2085. |
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来源：中国科学院大学
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