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arXiv · 1710.08233

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

Simon Zugmeyer
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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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Simon Zugmeyer. 2017-10-23. Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains. https://arxiv.org/abs/1710.08233

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