On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II

DOI10.2140/apde.2020.13.435zbMath1442.32045arXiv1803.02510OpenAlexW3121611539MaRDI QIDQ2307514

Ngoc Cuong Nguyen

Publication date: 24 March 2020

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02510

zbMATH Keywords

Dirichlet problemHölder regularityMonge-Ampère equations

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Strongly pseudoconvex domains (32T15)

Related Items (10)

Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity ⋮ Continuous solutions to the complex \(m\)-Hessian type equation on strongly \(m\)-pseudoconvex domains in \(\mathbb{C}^n\) ⋮ Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets ⋮ The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations ⋮ Local Hölder continuity of solutions of the complex Monge-Ampère equation ⋮ The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains ⋮ The Hölder continuous subsolution theorem for complex Hessian equations ⋮ Weak solutions to Monge-Ampère type equations on compact Hermitian manifold with boundary ⋮ Envelope of plurisubharmonic functions in Cegrell's classes ⋮ The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary

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