Continuity of Monge-Amp\`ere Potentials with Prescribed Singularities
Analysis of PDEs
2023-07-26 v2 Complex Variables
Abstract
We study the continuity of solutions to complex Monge-Ampere equations with prescribed singularities. This generalizes the previous results of DiNezza-Lu and the author. As an application, we can run the Monge-Ampere flow starting at a current with prescribed singularities.
Keywords
Cite
@article{arxiv.2304.06573,
title = {Continuity of Monge-Amp\`ere Potentials with Prescribed Singularities},
author = {Quang-Tuan Dang},
journal= {arXiv preprint arXiv:2304.06573},
year = {2023}
}
Comments
accepted version in J. Geom. Anal