2 papers
math.AP2025
Viscosity solution to complex Hessian quotient equations
Jingrui Cheng, Yulun Xu
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 visc…
math.AP2025
Viscosity solution to complex Hessian equations on compact Hermitian manifolds
Jingrui Cheng, Yulun Xu
We prove the existence of viscosity solutions to complex Hessian equations on a compact Hermitian manifold that satisfy a determinant domination condition. This viscosity solution…