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Stability of Inequalities in the Dual Brunn-Minkowski Theory

✍ Scribed by R.J. Gardner; S. Vassallo

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
133 KB
Volume
231
Category
Article
ISSN
0022-247X

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✍ Luis A. Caffarelli; David Jerison; Elliott H. Lieb πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 382 KB

Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1Γ‚N (1&t) vol 0 1Γ‚N 0 +t vol 0 1Γ‚N 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl