Interior regularity on the Abreu equation

Abstract

In this paper we prove the interior regularity for the solution to the Abreu equation in any dimension assuming the existence of the $C^0$ estimate.

To appear in Acta Math Sinica

References in corpus (3)

• Interior estimates for solutions of Abreu's equation
• The Kahler Metrics of constant scalar curvature on the Complex Torus
• Kähler-Ricci solitons on toric Fano orbifolds

Cited by in corpus (3)

• Affine techniques on extremal metrics on toric surfaces
• Uniform K-stability for extremal metrics on toric varieties
• Extremal metrics on toric surfaces