Some new estimates for the complex Monge-Ampère equation

作     者：Xiuxiong Chen Jingrui Cheng 

作者机构：Department of MathematicsSUNY Stony BrookStony BrookNY 11794USA Simons Center for Geometry and PhysicsSUNY Stony BrookStony BrookNY 11794USA 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2019年第62卷第11期

页      面：2073-2088页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Science Foundation of USA(Grant No.DMS1914719) 

主　　题：complex Monge-Ampère equations gradient estimates Kahler manifold 

摘      要：In this paper, we consider the complex Monge-Ampère equation posed on a compact K?hler manifold. We show how to get L^p(p ∞) and L∞estimates for the gradient of the solution in terms of the continuity of the right-hand side.