A remark on the continuous subsolution problem for the complex Monge-Ampère equation

DOI10.1007/s40306-019-00347-0zbMath1436.32119arXiv1808.07197OpenAlexW2972918180MaRDI QIDQ1987347

Sławomir Kołodziej, Ngoc Cuong Nguyen

Publication date: 14 April 2020

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07197

zbMATH Keywords

Dirichlet problemweak solutionscomplex Monge-Ampère equationsubsolution problem

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Currents (32U40)

Related Items (5)

The Dini type condition in the existence of continuous solutions to the complex Monge-Ampère equations on compact Kähler manifolds ⋮ 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 \(\mathbb{C}^n\) ⋮ The Hölder continuous subsolution theorem for complex Hessian equations ⋮ The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary

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• Hölder continuous solutions to Monge-Ampère equations
• The complex Monge-Ampère equation and pluripotential theory

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