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| Global regularity for a class of Monge-Ampère type equations | |
| 作者姓名： | Mengni Li You Li |
| 作者单位： | Department of Mathematical Sciences;Yau Mathematical Sciences Center |
| 基金项目： | Yau Mathematical Sciences Center for the support。 |
| 摘 要： | In this paper we are concerned with the global regularity of solutions to the Dirichlet problem for a class of Monge-Ampère type equations.By employing the concept of(a,η) type domain,we emphasize that the boundary regularity depends on the convexity of the domain in nature.The key idea of our proof is to provide more effective global H?lder estimates of convex solutions to the problem based on carefully choosing auxiliary functions and constructing sub-solutions. |
| 关 键 词： | Dirichlet problem Monge-Ampère type equation H?lder estimate |
Global regularity for a class of Monge-Ampère type equations |
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| Mengni Li,You Li.Global regularity for a class of Monge-Ampère type equations[J].中国科学 数学(英文版),2022,65(3):501-516. | |
| Authors: | Li Mengni Li You |
| Institution: | 1.Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China ;2.Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China ; |
| Abstract: | Science China Mathematics - In this paper we are concerned with the global regularity of solutions to the Dirichlet problem for a class of Monge-Ampère type equations. By employing the concept... |
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