Distances entre classes d'applications de Sobolev à valeurs dans une sphère

Translated title of the contribution: Distances between classes of sphere-valued Sobolev maps

Haïm Brézis, Petru Mironescu, Itai Shafrir

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We introduce an equivalence relation on Ws,p(SN;SN) involving the topological degree, and we evaluate the distances (in the usual sense and in the Hausdorff sense) between the equivalence classes. In some special cases, we even obtain exact formulas. Next we discuss related issues for W1,p(Ω;S1).

Translated title of the contributionDistances between classes of sphere-valued Sobolev maps
Original languageFrench
Pages (from-to)677-684
Number of pages8
JournalComptes Rendus Mathematique
Issue number7
StatePublished - Jul 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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