## Local Hardy-Sobolev inequalities for canceling elliptic differential operators

### Mardi 10 octobre 2017 14:00-15:00 - Tiago H. Picon - Université de São Paulo

Résumé : In this lecture we show that if is a linear differential operator of order with smooth complex coefficients in from a complex vector space to a complex vector space , then the Hardy-Sobolev inequality

for holds locally at any point if and only if is elliptic and the constant coefficients homogeneous operator is canceling in the sense of Van Schaftingen for every , which means that

Here is the homogeneous part of order of and is the principal symbol of .
This is joint work with Jorge Hounie (UFSCar, Brazil).

Lieu : Salle 113-115 (Bâtiment 425)

Local Hardy-Sobolev inequalities for canceling elliptic differential operators  Version PDF
avril 2018 :
 Département de Mathématiques Bâtiment 307 Faculté des Sciences d'Orsay Université Paris-Sud F-91405 Orsay Cedex Tél. : +33 (0) 1-69-15-79-56 Département Laboratoire Formation