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

Haim Brezis; Petru Mironescu; Itai Shafrir

doi:10.1007/s00526-017-1280-z

Distances between classes in W^{1 , 1}(Ω ; S¹)

Haim Brezis, Petru Mironescu, Itai Shafrir

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce an equivalence relation on the space W^{1 , 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 language	English
Article number	14
Journal	Calculus of Variations and Partial Differential Equations
Volume	57
Issue number	1
DOIs	https://doi.org/10.1007/s00526-017-1280-z
State	Published - 1 Feb 2018

Keywords

Primary 58D15
Secondary 46E35

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Access to Document

10.1007/s00526-017-1280-z

Cite this

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