Some new estimates for the complex Monge-Ampere equation

被引：2

作者：

Chen, Xiuxiong ^{[1
]}

Cheng, Jingrui ^{[2
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[2] SUNY Stony Brook, Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA

来源：

SCIENCE CHINA-MATHEMATICS | 2019年 / 62卷 / 11期

基金：

美国国家科学基金会;

关键词：

complex Monge-Ampere equations; gradient estimates; Kahler manifold; C-2; C-ALPHA ESTIMATE; REGULARITY;

D O I：

10.1007/s11425-019-1600-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the complex Monge-Ampere equation posed on a compact Kahler manifold. We show how to get L-p (p < infinity) and L-infinity estimates for the gradient of the solution in terms of the continuity of the right-hand side.

引用

页码：2073 / 2088

页数：16

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