Viscosity solution to complex Hessian quotient equations

Published 28 Jan 2025 in math.AP | (2501.17016v1)

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.

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