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A remark on the continuous subsolution problem for the complex Monge-Ampère equation
Journal
Acta Mathematica Vietnamica
20
Author
Kołodziej Sławomir
Nguyen Ngoc
Volume
45
Pages
83-91
ISSN
0251-4184
eISSN
2315-4144
Keywords in English
Dirichlet problem
complex Monge-Ampère equation
weak solutions
subsolution problem
Language
English
Journal language
English
Abstract in English
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.
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
7
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.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
dc.contributor.author | Kołodziej, Sławomir - 129027 | pl |
dc.contributor.author | Nguyen, Ngoc - 255148 | pl |
dc.date.accessioned | 2020-04-29T13:06:12Z | |
dc.date.available | 2020-04-29T13:06:12Z | |
dc.date.issued | 2020 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.physical | 83-91 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 45 | pl |
dc.identifier.doi | 10.1007/s40306-019-00347-0 | pl |
dc.identifier.eissn | 2315-4144 | pl |
dc.identifier.issn | 0251-4184 | 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 |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/154932 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | inne | |
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.subtype | Article | pl |
dc.title | A remark on the continuous subsolution problem for the complex Monge-Ampère equation | pl |
dc.title.journal | Acta Mathematica Vietnamica | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
dc.abstract.enpl
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. dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki dc.contributor.authorpl
Kołodziej, Sławomir - 129027 dc.contributor.authorpl
Nguyen, Ngoc - 255148 dc.date.accessioned
2020-04-29T13:06:12Z dc.date.available
2020-04-29T13:06:12Z dc.date.issuedpl
2020 dc.date.openaccess
0 dc.description.accesstime
w momencie opublikowania dc.description.physicalpl
83-91 dc.description.version
ostateczna wersja wydawcy dc.description.volumepl
45 dc.identifier.doipl
10.1007/s40306-019-00347-0 dc.identifier.eissnpl
2315-4144 dc.identifier.issnpl
0251-4184 dc.identifier.projectpl
2017/27/B/ST1/01145 dc.identifier.projectpl
NRF Grant 2011-0030044 (SRC-GAIA) of The Republic of Korea dc.identifier.projectpl
ROD UJ / OP dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/154932 dc.languagepl
eng dc.language.containerpl
eng dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa dc.rights.licence
CC-BY dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl dc.share.type
inne dc.subject.enpl
Dirichlet problem dc.subject.enpl
complex Monge-Ampère equation dc.subject.enpl
weak solutions dc.subject.enpl
subsolution problem dc.subtypepl
Article dc.titlepl
A remark on the continuous subsolution problem for the complex Monge-Ampère equation dc.title.journalpl
Acta Mathematica Vietnamica dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Matematyki i Informatyki
Kołodziej, Sławomir
Nguyen, Ngoc
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