On uniform estimate of complex elliptic equations on closed Hermitian manifolds

Abstract

In this paper, we study Hessian equations and complex quotient equations on closed Hermitian manifolds. We directly derive the uniform estimate for the admissible solution. As an application, we solve general Hessian equations on closed Kähler manifolds.

References in corpus (1)

• On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: $L^{\infty }$ estimate

Cited by in corpus (1)

• Parabolic Flow for Generalized complex Monge-Ampère type equations