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

Bibliographic description

punktacja MEiN [2020]: 20

title:	A remark on the continuous subsolution problem for the complex Monge-Ampère equation
author:	Kołodziej Sławomir , Nguyen Ngoc
journal title:	Acta Mathematica Vietnamica
volume:	45
date of publication :	2020
pages:	83-91
ISSN:	0251-4184
eISSN:	2315-4144
DOI:	10.1007/s40306-019-00347-0
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.
keywords in English:	Dirichlet problem, complex Monge-Ampère equation, weak solutions, subsolution problem
affiliation:	Wydział Matematyki i Informatyki : Instytut Matematyki
type:	journal article
subtype:	academic paper