Hölder Regularity of Dirichlet Problem For The Complex Monge-Ampère Equation
Yuxuan Hu, Bin Zhou
公開日: 2025/9/14
Abstract
We study the Dirichlet problem for the complex Monge-Amp\`ere equation on a strictly pseudo-convex domain in Cn or a Hermitian manifold. Under the condition that the right-hand side lies in Lp function and the boundary data are H\"older continuous, we prove the global H\"older continuity of the solution.