TY - JOUR
T1 - Distances entre classes d'applications de Sobolev à valeurs dans une sphère
AU - Brézis, Haïm
AU - Mironescu, Petru
AU - Shafrir, Itai
N1 - Funding Information:
The first author (HB) was partially supported by NSF grant DMS-1207793 . The second author (PM) was partially supported by the LABEX MILYON ( ANR-10-LABX-0070 ) of Université de Lyon, within the program “Investissements d'Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR). The third author (IS) was supported by the Israel Science Foundation (Grant No. 999/13 ).
Publisher Copyright:
© 2016 Académie des sciences
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).
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U2 - 10.1016/j.crma.2016.05.001
DO - 10.1016/j.crma.2016.05.001
M3 - Article
AN - SCOPUS:84969262221
SN - 1631-073X
VL - 354
SP - 677
EP - 684
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 7
ER -