Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains

Published 23 Oct 2017 in math.AP and math.FA | (1710.08233v1)

Abstract: We find a new sharp trace Gagliardo-Nirenberg-Sobolev inequality on convex cones, aswell as a weighted sharp trace Sobolev inequality on epigraphs of convex functions. This is done by using a generalized Borell-Brascamp-Lieb inequality, coming from the Brunn-Minkowski theory.

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Authors (1)

Simon Zugmeyer

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