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Regularity of solutions to the quaternionic Monge-Ampère equation

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Regularity of solutions to the quaternionic Monge-Ampère equation

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dc.contributor.author Kołodziej, Sławomir [SAP11112340] pl
dc.contributor.author Sroka, Marcin [SAP14016416] pl
dc.date.accessioned 2020-07-20T12:40:23Z
dc.date.available 2020-07-20T12:40:23Z
dc.date.issued 2020 pl
dc.identifier.issn 1050-6926 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/173260
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 Regularity of solutions to the quaternionic Monge-Ampère equation pl
dc.type JournalArticle pl
dc.description.physical 2852-2864 pl
dc.abstract.en The regularity of solutions to the Dirichlet problem for the quaternionic Monge-Ampère equation is discussed. We prove that the solution to the Dirichlet problem is Hölder continuous under some conditions on the boundary values and the quaternionic Monge-Ampère density from Lp(Ω) for p>2. As a step towards the proof, we provide a refined version of stability for the weak solutions to this equation. pl
dc.subject.en Monge-Ampere equation pl
dc.subject.en pluripotential theory pl
dc.subject.en subharmonic functions pl
dc.description.volume 30 pl
dc.identifier.doi 10.1007/s12220-020-00394-2 pl
dc.identifier.eissn 1559-002X pl
dc.title.journal Journal of Geometric Analysis 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 ROD UJ / OP pl
.pointsMNiSW [2020 A]: 100


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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