# Transitions de phase et équations non locales

25-27 April 2018
Institut de mathématique Simion Stoilow de l'Académie Roumaine
Europe/Bucharest timezone

## Distances entre classes d'homotopie de $W^{s,p}(S^N,S^N)$/Distances between homotopy classes of $W^{s,p}(S^N,S^N)$

27 Apr 2018, 10:00
1h

### Speaker

Itai Shafrir (Technion-Israel Institute of Technology, Israël)

### Description

When $sp\ge N$ the space $W^{s,p}(S^N,S^N)$ can be decomposed into homotopy classes according to the degree of the maps. We consider two natural distances between different classes. We prove estimates, and in some cases even explicit formulas, for these distances. Most of the work is joint with Haim Brezis (Rutgers and Technion) and Petru Mironescu (Lyon 1).

### Primary author

Itai Shafrir (Technion-Israel Institute of Technoloy, Israel)

### Co-authors

Haïm Brezis (Rutgers, États-Unis & Technion- Israel Institute of Technology, Israël) Petru Mironescu (U. Lyon 1, France)

### Presentation Materials

 Transparents