Interpolations, convexity and geometric inequalities

2011/09/16 by Cordero-Erausquin, Dario, Klartag, Bo'az · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1109.3652

Abstract

We survey some interplays between spectral estimates of Hörmander-type, degenerate Monge-Ampère equations and geometric inequalities related to log-concavity such as Brunn-Minkowski, Santaló or Busemann inequalities.

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• On a general class of free boundary Monge-Ampère equations

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