paper

Hölder Regularity of Dirichlet Problem For The Complex Monge-Ampère Equation

arXiv:2509.11329

Abstract

We study the Dirichlet problem for the complex Monge-Ampère equation on a strictly pseudoconvex domain in Cn or a Hermitian manifold. Under the condition that the right-hand side lies in Lp function and the boundary data are Hölder continuous, we prove the global Hölder continuity of the solution.

16 pages, 0 figures

Hölder Regularity of Dirichlet Problem For The Complex Monge-Ampère Equation · wovepaper