Generalized complex Monge-Ampère type equations on closed Hermitian manifolds

Abstract

We study generalized complex Monge-Ampère type equations on closed Hermitian manifolds. We derive {\em a priori} estimates and then prove the existence of admissible solutions. Moreover, the gradient estimate is improved.

References in corpus (4)

• $C^{2,\alpha }$ estimates for nonlinear elliptic equations in complex and almost complex geometry
• On uniform estimate of complex elliptic equations on closed Hermitian manifolds
• On a class of fully nonlinear elliptic equations on Hermitian manifolds
• On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: $L^{\infty }$ estimate

Cited by in corpus (2)

• Parabolic Flow for Generalized complex Monge-Ampère type equations
• A priori estimates for a generalised Monge-Ampère PDE on some compact Kähler manifolds