Regularity of solutions to the quaternionic Monge-Ampère equation

doi:10.1007/s12220-020-00394-2

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