Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains

2016/01/13 by Nguyen Xuan Hong, Hong, Nguyen Xuan, Tran Van Thuy +1
Mathematics · Physics and Astronomy · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Waves and Solitons #math.CV

paper · pdf · doi:10.48550/arxiv.1601.03149

openalex publication_date 2016/01/13 · arxiv created 2017/05/20 · arxiv updated 2017/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the Hölder continuity for solutions to the complex Monge-Ampère equations on non-smooth pseudoconvex domains of plurisubharmonic type m.

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