Continuous solutions to Monge-Ampere equations on Hermitian manifolds for measures dominated by capacity

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dc.contributor.authorKolodziej, Slawomirko
dc.contributor.authorNguyen, Ngoc Cuongko
dc.date.accessioned2021-06-15T02:50:31Z-
dc.date.available2021-06-15T02:50:31Z-
dc.date.created2021-06-13-
dc.date.created2021-06-13-
dc.date.created2021-06-13-
dc.date.created2021-06-13-
dc.date.issued2021-06-
dc.identifier.citationCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.60, no.3-
dc.identifier.issn0944-2669-
dc.identifier.urihttp://hdl.handle.net/10203/285923-
dc.description.abstractWe prove the existence of a continuous quasi-plurisubharmonic solution to the Monge-Ampere equation on a compact Hermitian manifold for a very general measure on the right hand side. We admit measures dominated by capacity in a certain manner, in particular, moderate measures studied by Dinh-Nguyen-Sibony. As a consequence, we give a characterization of measures admitting Holder continuous quasi-plurisubharmonic potential, inspired by the work of Dinh-Nguyen.-
dc.languageEnglish-
dc.publisherSPRINGER HEIDELBERG-
dc.titleContinuous solutions to Monge-Ampere equations on Hermitian manifolds for measures dominated by capacity-
dc.typeArticle-
dc.identifier.wosid000644943500006-
dc.type.rimsART-
dc.citation.volume60-
dc.citation.issue3-
dc.citation.publicationnameCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS-
dc.identifier.doi10.1007/s00526-021-01944-4-
dc.contributor.localauthorNguyen, Ngoc Cuong-
dc.contributor.nonIdAuthorKolodziej, Slawomir-
dc.description.isOpenAccessY-
dc.type.journalArticleArticle-
dc.subject.keywordAuthor32U40-
dc.subject.keywordAuthor32W20-
dc.subject.keywordAuthor53C55-
dc.subject.keywordPlusHOLDER CONTINUOUS SOLUTIONS-
dc.subject.keywordPlusCHERN-RICCI FLOW-
dc.subject.keywordPlusPLURISUBHARMONIC-FUNCTIONS-
dc.subject.keywordPlusWEAK SOLUTIONS-
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