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20172021
most citedSharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains

1 citations · 2 across the 4 of their papers we have counts for

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math.AP2020

Sobolev's inequality under a curvature-dimension condition

Louis Dupaigne, Ivan Gentil, Simon Zugmeyer

In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci curvature. This result was initially obtained in 1983 by Ilias. Our goal is to…

math.AP2017★ 1 cited

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

Simon Zugmeyer

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…