A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface

被引：93
作者：
Yang, Yunyan [1 ]
机构：
[1] Renmin Univ China, Informat Sch, Dept Math, Beijing 100872, Peoples R China
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 12期
关键词：
Moser-Trudinger inequality; blow-up analysis; extremal function; EXTREMAL-FUNCTIONS; SCALAR CURVATURE; 2; DIMENSIONS;
D O I：
10.1090/S0002-9947-07-04272-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a sharp form of the Moser-Trudinger inequality is established on a compact Riemannian surface via the method of blow-up analysis, and the existence of an extremal function for such an inequality is proved.
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页码：5761 / 5776
页数：16
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