Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn

Continuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge-Ampère equation on bounded domains, without requiring any smoothness of the domains.

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Bibliographic Details
Main Author: Patrick W. Darko
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120211129X
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author Patrick W. Darko
author_facet Patrick W. Darko
author_sort Patrick W. Darko
collection DOAJ
description Continuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge-Ampère equation on bounded domains, without requiring any smoothness of the domains.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2002-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-dd8d33373ec84e5eb10b2ebe8b7335002025-08-20T03:26:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01301170570710.1155/S016117120211129XContinuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂnPatrick W. Darko0Department of Mathematics and Computer Science, Lincoln University, PA 19352, USAContinuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge-Ampère equation on bounded domains, without requiring any smoothness of the domains.http://dx.doi.org/10.1155/S016117120211129X
spellingShingle Patrick W. Darko
Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn
International Journal of Mathematics and Mathematical Sciences
title Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn
title_full Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn
title_fullStr Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn
title_full_unstemmed Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn
title_short Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn
title_sort continuous and lp estimates for the complex monge ampere equation on bounded domains in cn
url http://dx.doi.org/10.1155/S016117120211129X
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