Continuous and \(L^p\) estimates for the complex Monge-Ampère equation on bounded domains in \({\mathbb C}^n\)
type: Item
instance of: scholarly article
title: Continuous and \(L^p\) estimates for the complex Monge-Ampère equation on bounded domains in \({\mathbb C}^n\)
zbMATH Open document ID: 1136.32303
DOI: 10.1155/S016117120211129X
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/54043
review text: Summary: Continuous solutions with continuous data and \(L^p\) solutions with \(L^p\) data are obtained for the complex Monge-Ampère equation on bounded domains, without requiring any smoothness of the domains.
Mathematics Subject Classification ID: 32W20
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1779153
author: Patrick W. Darko
MaRDI profile type: Publication
Recommended article: On \(L^\infty\) estimates for complex Monge-Ampère equations
Recommended article: A uniform \(L^{\infty}\) estimate for complex Monge-Ampère equations
Recommended article: A \(\mathcal{C}^{2, \alpha}\) estimate of the complex Monge-Ampère equation
Recommended article: The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation
Recommended article: An application of a C2-estimate for a complex Monge–Ampère equation
Recommended article: The complex Monge–Ampère equation in unbounded hyperconvex domains in ℂn
Recommended article: On the \(W^{2,1+\varepsilon }\)-estimates for the Monge-Ampère equation and related real analysis
Recommended article: On the complex Monge-Ampère equation in the ball of \(\mathbb{C}^n)\)
Recommended article: The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations
Recommended article: The complex Monge-Ampère operator on bounded domains in \(\mathbb C^n\)
description: scientific article; zbMATH DE number 1779153