C-1,C-1 REGULARITY OF DEGENERATE COMPLEX MONGE-AMPERE EQUATIONS AND SOME APPLICATIONS
文献类型：期刊论文
| 作者 | Chu, Jianchun |
| 刊名 | ANALYSIS & PDE
 |
| 出版日期 | 2021 |
| 卷号 | 14期号:6页码:1671-1700 |
| ISSN号 | 1948-206X |
| 关键词 | degenerate complex Monge-Ampere equation C-1,C-1 estimate |
| DOI | 10.2140/apde.2021.14.1671 |
| 英文摘要 | We prove a C-1,C-1 estimate for solutions of complex Monge-Ampere equations on compact almost Hermitian manifolds. Using this C-1,C-1 estimate, we show the existence of C-1,C-1 solutions to the degenerate Monge-Ampere equations, the corresponding Dirichlet problems and the singular Monge-Ampere equations. We also study the singularities of the pluricomplex Green's function. In addition, the proof of the above C-1,C-1 estimate is valid for a kind of complex Monge-Ampere-type equation. As a geometric application, we prove the C-1,C-1 regularity of geodesics in the space of Sasakian metrics. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | MATHEMATICAL SCIENCE PUBL |
| WOS记录号 | WOS:000693610100001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59230]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chu, Jianchun |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chu, Jianchun. C-1,C-1 REGULARITY OF DEGENERATE COMPLEX MONGE-AMPERE EQUATIONS AND SOME APPLICATIONS[J]. ANALYSIS & PDE,2021,14(6):1671-1700. |
| APA | Chu, Jianchun.(2021).C-1,C-1 REGULARITY OF DEGENERATE COMPLEX MONGE-AMPERE EQUATIONS AND SOME APPLICATIONS.ANALYSIS & PDE,14(6),1671-1700. |
| MLA | Chu, Jianchun."C-1,C-1 REGULARITY OF DEGENERATE COMPLEX MONGE-AMPERE EQUATIONS AND SOME APPLICATIONS".ANALYSIS & PDE 14.6(2021):1671-1700. |
入库方式： OAI收割
来源：数学与系统科学研究院
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