A sup x inf-type inequality for conformal metrics on Riemann surfaces with conical singularities

被引：0
|
作者：
Bartolucci, Daniele [1 ]
机构：
[1] Univ Roma Tor Vergata, Dept Math, I-00133 Rome, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 403卷 / 02期
关键词：
Conformal metrics; Conical singularities; Sup plus inf and sup x inf inequalities; Singular Liouville equation; PRESCRIBING SCALAR CURVATURE; LIOUVILLE-TYPE EQUATIONS; DELTA-U; S-N; BLOW;
D O I：
10.1016/j.jmaa.2013.02.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A sup x inf-type inequality is proved for the regular part of conformal factors for Riemannian metrics on surfaces with conical singularities of positive order alpha > 0. The proof is based on the explicit representation formula for solutions of the singular Liouville equation and generalizes to the singular case an argument by I. Shafrir. (C) 2013 Elsevier Inc. All rights reserved.
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页码：571 / 579
页数：9
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