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• W2971805895 abstract "By studying $L^p$-combinations of strongly isomorphic polytopes, we prove the equivalence of the $L^p$-Brunn-Minkowski inequality conjectured by Boroczky, Lutwak, Yang and Zhang to the local version of the inequality studied by Colesanti, Livshyts, and Marsiglietti and by Kolesnikov and Milman, settling a conjecture of the latter authors. In addition, we prove the local inequality in dimension $2$, yielding a new proof of the $L^p$-Brunn-Minkowski inequality in the plane." @default.
• W2971805895 created "2019-09-12" @default.
• W2971805895 creator A5036911701 @default.
• W2971805895 date "2019-09-09" @default.
• W2971805895 modified "2023-09-27" @default.
• W2971805895 title "Equivalence of the local and global versions of the $L^p$-Brunn-Minkowski inequality" @default.
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