Distances between classes of sphere-valued Sobolev maps

Haïm Brézis; Petru Mironescu; Itai Shafrir

doi:10.1016/j.crma.2016.05.001

Distances between classes of sphere-valued Sobolev maps

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

Haïm Brézis, 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 W^s,p(S^N;S^N) 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 W^1,p(Ω;S¹).

Translated title of the contribution	Distances between classes of sphere-valued Sobolev maps
Original language	English
Pages (from-to)	677-684
Number of pages	8
Journal	Comptes Rendus Mathematique
Volume	354
Issue number	7
DOIs	https://doi.org/10.1016/j.crma.2016.05.001
State	Published - 1 Jul 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2016.05.001

Cite this

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title = "Distances between classes of sphere-valued Sobolev maps",

abstract = "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).",

author = "Ha{\"i}m Br{\'e}zis and Petru Mironescu and Itai Shafrir",

note = "Publisher Copyright: {\textcopyright} 2016 Acad{\'e}mie des sciences",

year = "2016",

month = jul,

day = "1",

doi = "10.1016/j.crma.2016.05.001",

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T1 - Distances between classes of sphere-valued Sobolev maps

AU - Brézis, Haïm

AU - Mironescu, Petru

AU - Shafrir, Itai

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=84969262221&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2016.05.001

DO - 10.1016/j.crma.2016.05.001

M3 - مقالة

SN - 1631-073X

VL - 354

SP - 677

EP - 684

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 7

ER -

Distances between classes of sphere-valued Sobolev maps

Abstract

All Science Journal Classification (ASJC) codes

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