Interior Regularity on the Abreu Equation  

作　　者：Bo Hui CHEN An-Min LI Li SHENG 

机构地区：[1]Yangtze Center of Mathematics, Department of Mathematics, Sichuan University [2]Department of Mathematics, Sichuan University

出　　处：《Acta Mathematica Sinica,English Series》2013年第1期33-38,共6页数学学报（英文版）

基　　金：Supported by the National Key Basic Research and Development Program(Grant No.2006CB805905);National Natural Science Foundation of China(Grant Nos.10631050,11171235,11101129and11126228);the Research Fund for the Doctoral Program of Higher Education of China(Grant No.20060610004);Relative Theory in the String Theory(Grant No.11071173/A010301);Program for New Century Excellent Talents in Ministry of Education(Grant No.10-0588)

摘　　要：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.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.

关 键 词：Toric geometry Abreu＇s equation interior estimates 

分 类 号：O175[理学—数学]