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

Gang Tian

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C2,α-estimate, for complex Monge-Ampere equations in the conic case. This C2,α-estimate was used by Jeffres-Mazzeo-Rubinstein in their proof of the existence of Kähler-Einstein metrics with conic singularities.

Original languageEnglish (US)
Pages (from-to)687-694
Number of pages8
JournalChinese Annals of Mathematics. Series B
Volume38
Issue number2
DOIs
StatePublished - Mar 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • C-estimate
  • Complex
  • Conic
  • Monge-Ampere

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