On a class of fully nonlinear elliptic equations on Hermitian manifolds
Analysis of PDEs
2013-01-25 v1 Complex Variables
Differential Geometry
Abstract
We derive a priori estimates for a class of complex Monge-Ampere type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations under the assumption of existence of a subsolution; the existence result, as well as the second order boundary estimates, is new even for bounded domains in .
Keywords
Cite
@article{arxiv.1301.5863,
title = {On a class of fully nonlinear elliptic equations on Hermitian manifolds},
author = {Bo Guan and Wei Sun},
journal= {arXiv preprint arXiv:1301.5863},
year = {2013}
}