Fully non-linear elliptic equations on compact almost Hermitian manifolds
Analysis of PDEs
2021-09-28 v1 Differential Geometry
Abstract
In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian equation and the Monge--Amp\`ere equation for -plurisubharmonic equations in the almost Hermitian setting.
Cite
@article{arxiv.2109.12566,
title = {Fully non-linear elliptic equations on compact almost Hermitian manifolds},
author = {Jianchun Chu and Liding Huang and Jiaogen Zhang},
journal= {arXiv preprint arXiv:2109.12566},
year = {2021}
}