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A remark on the continuous subsolution problem for the complex Monge-Ampère equation

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A remark on the continuous subsolution problem for the complex Monge-Ampère equation

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dc.contributor.author Kołodziej, Sławomir [SAP11112340] pl
dc.contributor.author Nguyen, Ngoc [SAP14016092] pl
dc.date.accessioned 2020-04-29T13:06:12Z
dc.date.available 2020-04-29T13:06:12Z
dc.date.issued 2020 pl
dc.identifier.issn 0251-4184 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/154932
dc.language eng pl
dc.rights Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa *
dc.rights.uri http://creativecommons.org/licenses/by/4.0/pl/legalcode *
dc.title A remark on the continuous subsolution problem for the complex Monge-Ampère equation pl
dc.type JournalArticle pl
dc.description.physical 83-91 pl
dc.abstract.en We prove that if the modulus of continuity of a plurisubharmonic subsolution satisfies a Dini-type condition then the Dirichlet problem for the complex Monge-Ampère equation has the continuous solution. The modulus of continuity of the solution also given if the right hand side is locally dominated by capacity. pl
dc.subject.en Dirichlet problem pl
dc.subject.en complex Monge-Ampère equation pl
dc.subject.en weak solutions pl
dc.subject.en subsolution problem pl
dc.description.volume 45 pl
dc.identifier.doi 10.1007/s40306-019-00347-0 pl
dc.identifier.eissn 2315-4144 pl
dc.title.journal Acta Mathematica Vietnamica pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Matematyki pl
dc.subtype Article pl
dc.rights.original CC-BY; inne; ostateczna wersja wydawcy; w momencie opublikowania; 0 pl
dc.identifier.project 2017/27/B/ST1/01145 pl
dc.identifier.project NRF Grant 2011-0030044 (SRC-GAIA) of The Republic of Korea pl
dc.identifier.project ROD UJ / OP pl
.pointsMNiSW [2020 A]: 20


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Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa