Dirichlet problem for complex Monge-Ampere equation near an isolated KLT singularity

被引：1

作者：

Fu, Xin ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92617 USA

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2023年 / 25卷 / 05期

关键词：

Dirichlet problem; complex Monge-Ampere equation; KAHLER; MANIFOLDS;

D O I：

10.1142/S0219199722500195

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the Dirichlet problem for complex Monge-Ampere equation near an isolate Klt singularity, which generalizes the result of Eyssidieux et al. [Singular Kahler-Einstein metrics, J. Amer. Math. Soc. 22 (2009) 607-639], where the Monge-Ampere equation is solved on singular varieties without boundary. As a corollary, we construct solutions to Monge-Ampere equation with isolated singularity on strongly pseudoconvex domain Omega contained in C-n.

引用

页数：18

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