Gagliardo-Nirenberg-Sobolev inequalities for convex domains in ${\mathbb{R}}^d$

Rafael D. Benguria, Cristobal Vallejos, Hanne Van Den Bosch

A special type of Gagliardo-Nirenberg-Sobolev (GNS) inequalities in ${\mathbb{R}}^d$ has played a key role in several proofs of Lieb-Thirring inequalities. Recently, a need for GNS i…