A remark on the continuous subsolution problem for the complex Monge-Amp\`ere equation
Complex Variables
2018-08-23 v1
Abstract
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-Amp\`ere equation has the continuous solution. The modulus of continuity of the solution is also given if the right hand side is locally dominated by capacity.
Keywords
Cite
@article{arxiv.1808.07197,
title = {A remark on the continuous subsolution problem for the complex Monge-Amp\`ere equation},
author = {Slawomir Kolodziej and Ngoc Cuong Nguyen},
journal= {arXiv preprint arXiv:1808.07197},
year = {2018}
}
Comments
8 pages