Global regularity for a class of Monge-Ampère type equations

被引：0
|
作者：
Mengni Li
You Li
机构：
[1] Tsinghua University,Department of Mathematical Sciences
[2] Tsinghua University,Yau Mathematical Sciences Center
来源：
Science China Mathematics | 2022年 / 65卷
关键词：
Dirichlet problem; Monge-Ampère type equation; Hölder estimate; 35J60; 35B65; 53A15;
D O I：
暂无
中图分类号：
学科分类号：
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 Hölder estimates of convex solutions to the problem based on carefully choosing auxiliary functions and constructing sub-solutions.
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页码：501 / 516
页数：15
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