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

doi:10.1007/s40306-019-00347-0

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/legalcode.pl	*
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