In this short note we show how, by exploiting the regularity theory for solutions to the Monge-Ampère equation, Petty’s equation characterizes ellipsoids without assuming any a priori regularity assumption. © 2014, Tokyo Institute of Technology. All rights reserved.
A Note on Petty's Theorem
De Philippis, Guido;
2014-01-01
Abstract
In this short note we show how, by exploiting the regularity theory for solutions to the Monge-Ampère equation, Petty’s equation characterizes ellipsoids without assuming any a priori regularity assumption. © 2014, Tokyo Institute of Technology. All rights reserved.File in questo prodotto:
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