Calculus of Variations and Geometric Measure Theory

G. De Philippis - M. Marini

A note on Petty's Theorem

created by marini on 03 Apr 2014
modified by dephilipp on 25 Apr 2014


Accepted Paper

Inserted: 3 apr 2014
Last Updated: 25 apr 2014

Journal: Kodai Mathematical Journal
Year: 2014

This paper has been written for publication in a special volume dedicated to the conference ``Third Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's'', organized in Tokyo in August 2013.


In this short note we show how exploiting the regularity theory for solutions to the Monge-Ampère equation, Petty’s equation characterizes ellipsoids without assuming any a-priori regularity assumption.