Some new estimates for the complex Monge-Ampère equation

DOI10.1007/s11425-019-1600-8zbMath1435.32051OpenAlexW2980475809MaRDI QIDQ2010431

Xiuxiong Chen, Jingrui Cheng

Publication date: 27 November 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-019-1600-8

zbMATH Keywords

Kähler manifoldsMonge-Ampère equations

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) PDEs on manifolds (35R01)

Related Items

Local curvature estimates along the \(\kappa\)-LYZ flow

Cites Work

• \(C^{2,\alpha}\)-estimate for Monge-Ampère equations with Hölder-continuous right hand side
• The complex Monge-Ampère equation on compact Kähler manifolds
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• A gradient estimate in the Calabi-Yau theorem
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Elliptic partial differential equations of second order
• A \(\mathcal{C}^{2, \alpha}\) estimate of the complex Monge-Ampère equation
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• Some regularity properties of solutions of Monge Ampère equation
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation
• On the regularity of the complex Monge-Ampère equations