A priori estimate for the complex Monge-Ampère equation

DOI10.1007/s42543-020-00025-3zbMath1477.32062OpenAlexW3045457138MaRDI QIDQ2035428

Xu-Jia Wang, Bin Zhou, Jiaxiang Wang

Publication date: 24 June 2021

Published in: Peking Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42543-020-00025-3

zbMATH Keywords

stabilityHölder continuityplurisubharmonic functionscomplex Monge-Ampère equationMoser-Trudinger inequality

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Complex Monge-Ampère operators (32W20)

Related Items (5)

A new gradient estimate for the complex Monge-Ampère equation ⋮ 𝐿^{∞} estimates for Kähler-Ricci flow on Kähler-Einstein Fano manifolds: A new derivation ⋮ On \(L^\infty\) estimates for complex Monge-Ampère equations ⋮ Moser-Trudinger inequality for the complex Monge-Ampère equation ⋮ On \(L^{\infty}\) estimate for complex Hessian quotient equations on compact Kähler manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Dirichlet problem for a class of singular complex Monge-Ampère equations
• Rolf Nevanlinna in memoriam
• The Dirichlet problem for the complex Monge-Ampère operator: Stability in \(L^ 2\)
• The Dirichlet problem for a complex Monge-Ampère equation
• The complex Monge-Ampère equation
• Equicontinuity of families of plurisubharmonic functions with bounds on their Monge-Ampère masses
• Moser-Trudinger inequality for the complex Monge-Ampère equation
• A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
• Hölder continuous solutions to Monge-Ampère equations
• Modulus of continuity of solutions to complex Hessian equations
• Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampère operator
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• A variational theory of the Hessian equation
• Hölder continuous solutions to Monge-Ampère equations
• Open problems in pluripotential theory

This page was built for publication: A priori estimate for the complex Monge-Ampère equation