Chinese Annals of Mathematics, Series B

, Volume 38, Issue 2, pp 687–694 | Cite as

A third derivative estimate for Monge-Ampere equations with conic singularities

  • Gang Tian


The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C 2,α -estimate, for complex Monge-Ampere equations in the conic case. This C 2,α -estimate was used by Jeffres-Mazzeo-Rubinstein in their proof of the existence of Kähler-Einstein metrics with conic singularities.


Complex Monge-Ampere Conic Cα-estimate 

2000 MR Subject Classification

32W 35J 


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Copyright information

© Fudan University and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Beijing International Center for Mathematical ResearchBeijing UniversityBeijingChina
  2. 2.Mathematics DepartmentPrinceton UniversityPrincetonUSA

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