Calculus of Variations and Geometric Measure Theory
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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

[BibTeX]

Accepted Paper

Inserted: 3 apr 2014
Last Updated: 25 apr 2014

Journal: Kodai Mathematical Journal
Year: 2014
Notes:

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.


Abstract:

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.


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