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A nonlinear inequality of Moser-Trudinger type

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Calculus of Variations and Partial Differential Equations Aims and scope Submit manuscript

Abstract.

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 \(S^2\), which was proved in [Au], and also refines a weaker inequality found by the first author in [T2].

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USA, , , , , , US

    Gang Tian & Xiaohua Zhu

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  1. Gang Tian
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  2. Xiaohua Zhu
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Received: May 27, 1997 / Accepted: June 11, 1999

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Tian, G., Zhu, X. A nonlinear inequality of Moser-Trudinger type. Calc Var 10, 349–354 (2000). https://doi.org/10.1007/s005260010349

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  • DOI: https://doi.org/10.1007/s005260010349

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