arXiv subjects

Ngoc Thanh Cong Pham

Publications and source records attributed to Ngoc Thanh Cong Pham.

2 recordsLinked to original sources

arXiv2025

An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains

In this paper, we study the non-pluripolar complex Monge-Ampère measure on bounded domains in $ \mathbb{C}^n $. We establish a general existence theorem for a non-pluripolar complex Monge-Ampère type equation with prescribed singularity on a bounded hyperconvex domain in $ \mathbb{C}^n $.

math.CV↗

arXiv2025

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 result of Ahag, Cegrell, Czyz and Pham.

math.CV↗