A NOTE ON PETTY'S THEOREM

被引：3
|
作者：
Marini, Michele [1 ]
De Philippis, Guido [2 ]
机构：
[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[2] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland
来源：
KODAI MATHEMATICAL JOURNAL | 2014年 / 37卷 / 03期
关键词：
Convex bodies; affine inequalities; Monge-Ampere; REGULARITY; EQUATION; BODY;
D O I：
10.2996/kmj/1414674610
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short note we show how, by exploiting the regularity theory for solutions to the Monge-Ampere equation, Petty's equation characterizes ellipsoids without assuming any a priori regularity assumption.
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页码：586 / 594
页数：9
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