Stability and regularity of solutions of the Monge-Ampere equation on Hermitian manifolds

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dc.contributor.authorKolodziej, Slawomirko
dc.contributor.authorNgoc Cuong Nguyenko
dc.date.accessioned2019-11-07T09:20:07Z-
dc.date.available2019-11-07T09:20:07Z-
dc.date.created2019-11-07-
dc.date.created2019-11-07-
dc.date.created2019-11-07-
dc.date.issued2019-04-
dc.identifier.citationADVANCES IN MATHEMATICS, v.346, pp.264 - 304-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/10203/268234-
dc.description.abstractWe prove stability of solutions of the complex Monge-Ampere equation on compact Hermitian manifolds, when the right hand side varies in a bounded set in L-p, p > 1 and it is bounded away from zero. Such solutions are shown to be Holder continuous. As an application we extend a recent result of Szekelyhidi and Tosatti on Kahler-Einstein equation from Kahler to Hermitian manifolds. (C) 2019 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleStability and regularity of solutions of the Monge-Ampere equation on Hermitian manifolds-
dc.typeArticle-
dc.identifier.wosid000461538800008-
dc.identifier.scopusid2-s2.0-85061257270-
dc.type.rimsART-
dc.citation.volume346-
dc.citation.beginningpage264-
dc.citation.endingpage304-
dc.citation.publicationnameADVANCES IN MATHEMATICS-
dc.identifier.doi10.1016/j.aim.2019.02.004-
dc.contributor.localauthorNgoc Cuong Nguyen-
dc.contributor.nonIdAuthorKolodziej, Slawomir-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorComplex Monge-Ampere equation-
dc.subject.keywordAuthorHermitian manifold-
dc.subject.keywordAuthorHolder continuity-
dc.subject.keywordPlusKAHLER-RICCI FLOW-
dc.subject.keywordPlusMETRICS-
dc.subject.keywordPlusLIMITS-
dc.subject.keywordPlusCONE-
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