A remark on the continuous subsolution problem for the complex Monge-Ampère equation
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dc.type
JournalArticle
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dc.description.physical
83-91
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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.
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dc.subject.en
Dirichlet problem
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dc.subject.en
complex Monge-Ampère equation
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dc.subject.en
weak solutions
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dc.subject.en
subsolution problem
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dc.description.volume
45
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dc.identifier.doi
10.1007/s40306-019-00347-0
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dc.identifier.eissn
2315-4144
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dc.title.journal
Acta Mathematica Vietnamica
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dc.language.container
eng
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dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
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dc.subtype
Article
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dc.rights.original
CC-BY; inne; ostateczna wersja wydawcy; w momencie opublikowania; 0
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dc.identifier.project
2017/27/B/ST1/01145
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dc.identifier.project
NRF Grant 2011-0030044 (SRC-GAIA) of The Republic of Korea