Dirichlet problem of complex Monge-Amp\`ere equation near an isolated KLT singularity
Complex Variables
2022-12-22 v2 Analysis of PDEs
Abstract
We solve the Dirichlet Problem of Monge-Amp\`ere equation near an isolate Klt singularity, which generalizes the result of Eyssidieux-Guedj-Zeriahi \cite{EGZ}, where the Monge-Amp\`ere equation is solved on singular varieties without boundary. As a corollary, we construct solutions to Monge-Amp\`ere equation with isolated singularity on strongly pseudoconvex domain contained in .
Keywords
Cite
@article{arxiv.2106.10389,
title = {Dirichlet problem of complex Monge-Amp\`ere equation near an isolated KLT singularity},
author = {Xin Fu},
journal= {arXiv preprint arXiv:2106.10389},
year = {2022}
}
Comments
Minor change from V1. arXiv admin note: text overlap with arXiv:2106.05486