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 (7)

• Weak solutions of complex Hessian equations on compact Hermitian manifolds
• Fu-Yau Hessian Equations
• On estimates for the Fu-Yau generalization of a Strominger system
• Generalized complex Monge-Ampère type equations on closed Hermitian manifolds
• Parabolic Flow for Generalized complex Monge-Ampère type equations
• A second order estimate for general complex Hessian equations
• Fully non-linear elliptic equations on compact almost Hermitian manifolds