The Monge-Ampère equation on almost complex manifolds

2011/06/16 by Szymon Pliś, Plis, Szymon
Mathematics · #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1106.3356

openalex publication_date 2011/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Dirichlet problem for the Monge-Ampère equation on almost complex manifolds. We obtain the existence of the unique smooth solution of this problem in strictly pseudoconvex domains.

Citations

• Symplectic manifolds with contact type boundaries

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