Interior regularity for the generalized Abreu equation-Reference-Cited by-同舟云学术

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Interior regularity for the generalized Abreu equation

Published:2017-05-23 Issue:07 Volume:28 Page:1750053
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Li An-Min¹,Lian Zhao¹,Sheng Li¹²

Affiliation:

1. Department of Mathematics, Sichuan University, Chengdu, P. R. China

2. Capital Normal University, Beijing, P. R. China

Abstract

We study the generalized Abreu equation in [Formula: see text]-dimensional polytopes and derive interior estimates of solutions under the assumption of the uniform [Formula: see text]-stability.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X17500537

Reference20 articles.

1. Extremal Kähler metrics on projective bundles over a curve

2. Interior W 2, p Estimates for Solutions of the Monge-Ampere Equation

3. Properties of the solutions of the linearized Monge-Ampere equation

4. Interior estimates for the n -dimensional Abreuʼs equation

5. The Abreu equation with degenerated boundary conditions

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1. A Yau–Tian–Donaldson correspondence on a class of toric fibrations;Annales de l'Institut Fourier;2023-10-26

2. Prescribed scalar curvatures for homogeneous toric bundles;Differential Geometry and its Applications;2019-04

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