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The Brunn-Minkowski inequality forp-capacity of convex bodies

✍ Scribed by Andrea Colesanti; Paolo Salani

Publisher
Springer
Year
2003
Tongue
English
Weight
206 KB
Volume
327
Category
Article
ISSN
0025-5831

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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