A Remark on the Continuous Subsolution Problem for the Complex Monge-Ampère Equation

被引：0

作者：

Sławomir Kołodziej

Ngoc Cuong Nguyen

机构：

[1] Jagiellonian University,Faculty of Mathematics and Computer Science

[2] Pohang University of Science and Technology,Department of Mathematics, Center for Geometry and its Applications

来源：

Acta Mathematica Vietnamica | 2020年 / 45卷

关键词：

Dirichlet problem; Complex Monge-Ampère equation; Weak solutions; Subsolution problem; 32W20; 32U40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that if the modulus of continuity of a plurisubharmonic subsolution satisfies a Dini-type condition then the Dirichlet problem for the complex Monge-Ampère equation has the continuous solution. The modulus of continuity of the solution also given if the right hand side is locally dominated by capacity.

引用

页码：83 / 91

页数：8