Inserted: 3 apr 2014
Last Updated: 25 apr 2014
Journal: Kodai Mathematical Journal
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.