Onofri-Type Inequalities for Singular Liouville Equations

被引：6

作者：

Mancini, Gabriele ^{[1
]}

机构：

[1] SISSA ISAS, Via Bonomea 265, I-34136 Trieste, Italy

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2016年 / 26卷 / 02期

关键词：

Onofri's inequality; Liouville equations; Conical singularities; Moser-Trudinger; Sphere; MEAN-FIELD EQUATIONS; BLOW-UP ANALYSIS; COMPACT SURFACES; CURVATURE;

D O I：

10.1007/s12220-015-9589-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the blow-up behavior of minimizing sequences for the singular Moser-Trudinger functional on compact surfaces. Assuming non-existence of minimum points, we give an estimate for the infimum value of the functional. This result can be applied to give sharp Onofri-type inequalities on the sphere in the presence of at most two singularities.

引用

页码：1202 / 1230

页数：29

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