On the Case of Equality in the Brunn–Min
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Luis A. Caffarelli; David Jerison; Elliott H. Lieb
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Article
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1996
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Elsevier Science
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English
⚖ 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 ) 1ÂN (1&t) vol 0 1ÂN 0 +t vol 0 1ÂN 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