Figalli A, Maggi F, Pratelli A (2009)
Publication Language: German
Publication Status: Published
Publication Type: Journal article
Publication year: 2009
Publisher: Elsevier Masson / Institute Henri Poincaré
Book Volume: 26
Pages Range: 2511-2519
Journal Issue: 6
DOI: 10.1016/j.anihpc.2009.07.004
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.
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.
BibTeX: Download