Moser-Trudinger inequality for the complex Monge-Ampere equation
Analysis of PDEs
2020-03-16 v1
Abstract
In this paper, we prove a Moser-Trudinger type inequality for pluri-subharmonic functions vanishing on the boundary. Our proof uses a descent gradient flow for the complex Monge-Ampere functional.
Cite
@article{arxiv.2003.06056,
title = {Moser-Trudinger inequality for the complex Monge-Ampere equation},
author = {Wang Jiaxiang and Wang Xu-jia and Zhou Bin},
journal= {arXiv preprint arXiv:2003.06056},
year = {2020}
}