On the solution of dirichlet problem of complex monge-ampere equation on cartan-hartogs domain of the second type
文献类型：期刊论文
| 作者 | Yin WeiPing2; Yin XiaoLan1,3 |
| 刊名 | Science in china series a-mathematics
 |
| 出版日期 | 2009-12-01 |
| 卷号 | 52期号:12页码:2829-2840 |
| 关键词 | Complex monge-ampere equation Dirichlet problem Cartan-hartogs domain Kaehler-einstein metric |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-009-0221-5 |
| 通讯作者 | Yin xiaolan() |
| 英文摘要 | Complex monge-ampere equation is a nonlinear equation with high degree, so its solution is very difficult to get. how to get the plurisubharmonic solution of dirichlet problem of complex monge-ampere equation on the cartan-hartogs domain of the second type is discussed by using the analytic method in this paper. firstly, the complex monge-ampere equation is reduced to a nonlinear second-order ordinary differential equation (ode) by using quite different method. secondly, the solution of the dirichlet problem is given in semi-explicit formula, and under a special case the exact solution is obtained. these results may be helpful for the numerical method of dirichlet problem of complex monge-ampere equation on the cartan-hartogs domain. |
| WOS关键词 | EINSTEIN-KAHLER METRICS ; 1ST TYPE |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000272622200020 |
| 出版者 | SCIENCE PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2400322 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Yin XiaoLan |
| 作者单位 | 1.Chinese Acad Sci, Technol Ctr Software Engn, Inst Software, Beijing 100080, Peoples R China 2.Capital Normal Univ, Sch Math Sci, Beijing 10048, 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 problem of complex monge-ampere equation on cartan-hartogs domain of the second type[J]. Science in china series a-mathematics,2009,52(12):2829-2840. |
| APA | Yin WeiPing,&Yin XiaoLan.(2009).On the solution of dirichlet problem of complex monge-ampere equation on cartan-hartogs domain of the second type.Science in china series a-mathematics,52(12),2829-2840. |
| MLA | Yin WeiPing,et al."On the solution of dirichlet problem of complex monge-ampere equation on cartan-hartogs domain of the second type".Science in china series a-mathematics 52.12(2009):2829-2840. |
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来源：中国科学院大学
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