A nonlinear inequality of Moser-Trudinger type

Gang Tian, Xiaohua Zhu

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In this note, we will prove an inequality for almost plurisubharmonic functions on any Kähler-Einstein manifolds with positive scalar curvature. This inequality generalizes the stronger version of the so called Moser-Trudinger-Onofri inequality on S2, which was proved in [Au], and also refines a weaker inequality found by the first author in [T2].

Original languageEnglish (US)
Pages (from-to)349-354
Number of pages6
JournalCalculus of Variations and Partial Differential Equations
Issue number4
StatePublished - Jun 2000

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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