Hölder regularity of Dirichlet problem for the complex Monge–Ampère equation
Abstract
Abstract We study the Dirichlet problem for the complex Monge–Ampère equation on a strictly pseudoconvex domain in or a Hermitian manifold. Under the condition that the right‐hand side lies in an function and the boundary data are Hölder continuous, we prove the global Hölder continuity of the solution.
Fields of Study & Subjects
Geometry and complex manifolds
Nonlinear Partial Differential Equations
Analytic and geometric function theory
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 3
- Publication date
- 1 March 2026
- Language
- EN