arXiv subjects

Pham Thi Lieu

Publications and source records attributed to Pham Thi Lieu.

2 recordsLinked to original sources

arXiv2022

Complex Monge-Ampère equations for plurifinely plurisubharmonic functions

This paper studies the complex Monge-Ampère equations for $\mathcal F$-plurisubharmonic functions in bounded $\mathcal F$-hyperconvex domains. We give sufficient conditions for this equation to solve for measures with a singular part.

math.CV↗

arXiv2021

Local Hölder continuity of solutions of the complex Monge-Ampère equation

In this paper, we are interested in studying the Dirichlet problem for the complex Monge-Ampère operator. We provide necessary and sufficient conditions for the problem to have Hölder continuous solutions.

math.CV↗