A nonlinear inequality of Moser-Trudinger type

Gang Tian; Xiaohua Zhu

doi:10.1007/s005260010349

A nonlinear inequality of Moser-Trudinger type

Gang Tian, Xiaohua Zhu

Mathematics

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

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 S², which was proved in [Au], and also refines a weaker inequality found by the first author in [T2].

Original language	English (US)
Pages (from-to)	349-354
Number of pages	6
Journal	Calculus of Variations and Partial Differential Equations
Volume	10
Issue number	4
DOIs	https://doi.org/10.1007/s005260010349
State	Published - Jun 2000

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/s005260010349

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title = "A nonlinear inequality of Moser-Trudinger type",

abstract = "In this note, we will prove an inequality for almost plurisubharmonic functions on any K{\"a}hler-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].",

author = "Gang Tian and Xiaohua Zhu",

year = "2000",

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AU - Zhu, Xiaohua

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N2 - 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].

AB - 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].

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 4

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A nonlinear inequality of Moser-Trudinger type

Abstract

All Science Journal Classification (ASJC) codes

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