Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

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

Inégalité de Gagliardo-Nirenberg-Sobolev optimale dans les cônes convexes, et dans les domaines convexes

(1)
1
Simon Zugmeyer
  • Function : Author
  • PersonId : 1021240

Abstract

We find a new sharp trace Gagliardo-Nirenberg-Sobolev inequality on convex cones, as well 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.
Fichier principal
Vignette du fichier
GNS.pdf (479.66 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01619847 , version 1 (19-10-2017)
hal-01619847 , version 2 (07-11-2018)

Identifiers

Cite

Simon Zugmeyer. Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains. 2017. ⟨hal-01619847v2⟩
349 View
451 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More