A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations

In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of \(\mathbb{C}^n\). We provide a local version for an existence and uniqueness theorem proved by Darvas, Di Nezza and Lu. Our work also extends a r...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Thai Duong Do, Hoang-Son Do, Van Tu Le, Ngoc Thanh Cong Pham
Format: Article
Language:English
Subjects:
Dirichlet problem
Uniqueness theorems
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of \(\mathbb{C}^n\). We provide a local version for an existence and uniqueness theorem proved by Darvas, Di Nezza and Lu. Our work also extends a result of Ahag, Cegrell, Czyz and Pham.
ISSN:2331-8422