A note on petty’s theorem

Michele Marini, Guido De Philippis

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)586-594
Number of pages9
JournalKodai Mathematical Journal
Issue number3
StatePublished - 2014


  • Affine inequalities
  • Convex bodies
  • Monge-ampère

ASJC Scopus subject areas

  • Mathematics(all)

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