Distances between classes in W1 , 1(Ω ; S1)

Haim Brezis, Petru Mironescu, Itai Shafrir

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We introduce an equivalence relation on the space W1 , 1(Ω ; S1) which classifies maps according to their “topological singularities”. We establish sharp bounds for the distances (in the usual sense and in the Hausdorff sense) between the equivalence classes. Similar questions are examined for the space W1 , p(Ω ; S1) when p> 1.

Original languageEnglish (US)
Article number14
JournalCalculus of Variations and Partial Differential Equations
Issue number1
StatePublished - Feb 1 2018

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


  • Primary 58D15
  • Secondary 46E35


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