The complex Monge-Amp\`ere equation on weakly pseudoconvex domains
Complex Variables
2017-04-17 v1
Abstract
We show here a "weak" H\"older-regularity up to the boundary of the solution to the Dirichlet problem for the complex Monge-Amp\`{e}re equation with data in the space and the boundary of the domain satisfying an -property. The -property is a potential-theoretical condition which holds for all pseudoconvex domains of finite type and many examples of infinite type.
Cite
@article{arxiv.1704.04350,
title = {The complex Monge-Amp\`ere equation on weakly pseudoconvex domains},
author = {Luca Baracco and Tran Vu Khanh and Stefano Pinton},
journal= {arXiv preprint arXiv:1704.04350},
year = {2017}
}
Comments
final version