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.
Citation
Michele Marini. Guido de Philippis. "A note on Petty's theorem." Kodai Math. J. 37 (3) 586 - 594, October 2014. https://doi.org/10.2996/kmj/1414674610
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