Gradient and Hessian estimates for the Hermitian Monge-Ampère equation

DOI10.1007/s00009-023-02493-0zbMath1527.32037OpenAlexW4386289802MaRDI QIDQ6077108

Abdellah Hanani

Publication date: 17 October 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02493-0

zbMATH Keywords

gradient estimateMonge-Ampère equationHermitian manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds
• The Dirichlet problem for degenerate complex Monge-Ampère equations
• Fully non-linear elliptic equations on compact Hermitian manifolds
• Equations of Monge-Ampère type on compact Hermitian manifolds.
• A generalization of the Monge-Ampère equation on compact Hermitian manifolds
• Fully non-linear degenerate elliptic equations in complex geometry
• The complex Hessian equations with gradient terms on Hermitian manifolds
• The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds
• Complex Monge-Ampère equations and totally real submanifolds
• A Priori Estimates for Complex Monge-Ampere Equation on Hermitian Manifolds
• The complex Monge-Ampère equation on compact Hermitian manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Pluripotential estimates on compact Hermitian manifolds

This page was built for publication: Gradient and Hessian estimates for the Hermitian Monge-Ampère equation