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

被引：0
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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;
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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.
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页码：83 / 91
页数：8
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