The complex Monge-Ampère equation in the Cegrell's classes

2023/12/03 by Hoang Nhat Quy, Quy, Hoang Nhat
Mathematics · Physics and Astronomy · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2312.01331

openalex publication_date 2023/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give some precise characterizations of existence of solution to the complex Monge - Ampère equation in the classes \mathcal E_χ(Ω) and \mathcal E_χ,loc(Ω).

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