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.

引用

页码：586 / 594

页数：9

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