The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains
type: Item
instance of: scholarly article
title: The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains
zbMATH Open document ID: 1478.32108
author: Nguyen Xuan Hong
author: Pham Thi Lieu
published in: Complex Analysis and Operator Theory
publication date: 2021-12-02T00:00:00Z
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 32U15
Mathematics Subject Classification ID: 32U40
zbMATH DE Number: 7438150
zbMATH Keywords: plurifinely plurisubharmonic functions
zbMATH Keywords: complex Monge-Ampère equation
zbMATH Keywords: Dirichlet problem
MaRDI profile type: Publication
full work available at URL: s11785-021-01178-4
OpenAlex ID: W3211836512
cites work: The Dirichlet problem for a complex Monge-Ampère equation
cites work: Rolf Nevanlinna in memoriam
cites work: Fine topology, Šilov boundary, and \((dd^ c)^ n\)
cites work: On the Hölder continuous subsolution problem for the complex Monge-Ampère equation
cites work: On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II
cites work: Hölder continuous solutions to Monge-Ampère equations
cites work: Characterization of Monge-Ampère measures with Hölder continuous potentials
cites work: Super-potentials of positive closed currents, intersection theory and dynamics
cites work: Plurisubharmonic and holomorphic functions relative to the plurifine topology
cites work: Maximal plurifinely plurisubharmonic functions
cites work: Plurifinely plurisubharmonic functions and the Monge Ampère operator
cites work: Connectedness in the Pluri-fine Topology
cites work: Continuity properties of finely plurisubharmonic functions and pluripolarity
cites work: Range of the complex Monge–Ampère operator on plurifinely domain
cites work: Maximality of plurifinely plurisubharmonic functions
cites work: Smooth approximation of quaternionic plurisubharmonic functions
cites work: On the approximation of weakly plurifinely plurisubharmonic functions
cites work: Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains
cites work: Local Hölder continuity of solutions of the complex Monge-Ampère equation
cites work: The stability of solutions to the complex Monge-Ampère equations in bounded \(\mathcal{F} \)-hyperconvex domains
cites work: Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains
cites work: Local maximality for bounded plurifinely plurisubharmonic functions
cites work: Convergence in capacity of plurisubharmonic functions with given boundary values
cites work: Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampère operator
cites work: Plurifine potential theory
DOI: 10.1007/S11785-021-01178-4
Recommended article: On the Dirichlet problem for the complex Monge-Ampère operator
Recommended article: Q3985709
Recommended article: A Dirichlet problem for the complex Monge-Ampère operator in \(\mathcal F(f)\)
Recommended article: A general Dirichlet problem for the complex Monge–Ampère operator
Recommended article: On the existence and regularity of the Dirichlet problem for complex Monge-Ampère equations on weakly pseudoconvex domains
Recommended article: Q3582125
Recommended article: The complex Monge-Ampère equation on weakly pseudoconvex domains
Recommended article: Complex Monge-Ampère equation in strictly pseudoconvex domains
Recommended article: Approximation of Plurisubharmonic Functions and the Dirichlet Problem for the Complex Monge-Ampère Operator.
description: scientific article; zbMATH DE number 7438150