A refined Brunn-Minkowski inequality for convex sets

Figalli A, Maggi F, Pratelli A (2009)

Publication Language: German

Publication Status: Published

Publication Type: Journal article

Publication year: 2009

Journal

Annales de l'Institut Henri Poincaré - Analyse Non Linéaire Elsevier Masson / Institute Henri Poincaré

Publisher: Elsevier Masson / Institute Henri Poincaré

Book Volume: 26

Pages Range: 2511-2519

Journal Issue: 6

DOI: 10.1016/j.anihpc.2009.07.004

Abstract

Starting from a mass transportation proof of the Brunn-Minkowski inequality on convex sets, we improve the inequality showing a sharp estimate about the stability property of optimal sets. This is based on a Poincare-type trace inequality on convex sets that is also proved in sharp form. (C) 2009 Elsevier Masson SAS. All rights reserved.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

Università degli Studi di Firenze / University of Florence IT Italy (IT) University of Texas at Austin US United States (USA) (US)

How to cite

APA:

Figalli, A., Maggi, F., & Pratelli, A. (2009). A refined Brunn-Minkowski inequality for convex sets. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 26(6), 2511-2519. https://dx.doi.org/10.1016/j.anihpc.2009.07.004

MLA:

Figalli, Alessio, Francesco Maggi, and Aldo Pratelli. "A refined Brunn-Minkowski inequality for convex sets." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 26.6 (2009): 2511-2519.

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