Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604671 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2009 | 9 Pages |
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 Poincaré-type trace inequality on convex sets that is also proved in sharp form.
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Mathematics
Analysis