Hoang-Son Do

collaborators

3 papers

math.CV2024

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

Thai Duong Do, Hoang-Son Do, Van Tu Le +1

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 $C^{n}$ . We provid…

math.CV2024

Quantitative stability for the complex Monge-Ampère equations I

Hoang-Son Do, Duc-Viet Vu

We generalize several known stability estimates for complex Monge-Ampère equations to the setting of low (or high) energy potentials. We apply our estimates to obtain, among other…

math.CV2023

Log continuity of solutions of complex Monge-Ampère equations

Hoang-Son Do, Duc-Viet Vu

Let $X$ be a compact Kähler manifold whose anticanonical cohomology class is semipositive. Let $L$ be a big and semi-ample line bundle on $X$ and $α$ be the Chern class of $L$ . We…