Viscosity solution to complex Hessian quotient equations
Analysis of PDEs
2025-01-29 v1
Abstract
In this paper, we prove the existence of viscosity solutions to complex Hessian equations on compact Hermitian manifolds, assuming the existence of a strict subsolution in the viscosity sense. The results cover the complex Hessian quotient equations. This generalized our previous results where the equation needs to satisfy a determinant domination condition.
Cite
@article{arxiv.2501.17016,
title = {Viscosity solution to complex Hessian quotient equations},
author = {Jingrui Cheng and Yulun Xu},
journal= {arXiv preprint arXiv:2501.17016},
year = {2025}
}