Distances between homotopy classes of Ws,p(𝕊N;𝕊N)

Brezis, Haïm; Mironescu, Petru; Shafrir, Itai

doi:10.1051/cocv/2016037

Distances between homotopy classes of W^s,p(𝕊^N;𝕊^N)

Brezis, Haïm ^1,² ; Mironescu, Petru ³ ; Shafrir, Itai ²

¹ Department of Mathematics, Rutgers University, New Brunswick, NJ, USA.
² Department of Mathematics, Technion – I.I.T., 32000 Haifa, Israel.
³ Université de Lyon, Université Lyon 1, CNRS UMR 5208, Institut Camille Jordan, 69622 Villeurbanne, France.

ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 4, pp. 1204-1235.

Reçu le : 2016-06-06
Accepté le : 2016-06-07

Zbl

DOI : 10.1051/cocv/2016037

Classification : 46E40
Mots-clés : Sobolev spaces, degree, sphere-valued maps, homotopy classes

Affiliations des auteurs :

Brezis, Haïm ^{1, 2} ; Mironescu, Petru ³ ; Shafrir, Itai ²

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Brezis, Haïm; Mironescu, Petru; Shafrir, Itai. Distances between homotopy classes of W^s,p(𝕊^N;𝕊^N). ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 4, pp. 1204-1235. doi : 10.1051/cocv/2016037. https://www.numdam.org/articles/10.1051/cocv/2016037/

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Brezis, Haïm; Mironescu, Petru Where Sobolev interacts with Gagliardo–Nirenberg, Journal of Functional Analysis, Volume 277 (2019) no. 8, p. 2839 | DOI:10.1016/j.jfa.2019.02.019
Brezis, Haim; Mironescu, Petru; Shafrir, Itai Distances between classes in $W^{1, 1} (Ω; S^{1})$ W 1 , 1 ( Ω ; S 1 ), Calculus of Variations and Partial Differential Equations, Volume 57 (2018) no. 1 | DOI:10.1007/s00526-017-1280-z
Shafrir, Itai On the distance between homotopy classes in W 1/p,p (𝕊 1 ;𝕊 1 ), Confluentes Mathematici, Volume 10 (2018) no. 1, p. 125 | DOI:10.5802/cml.48
Brézis, Haïm; Mironescu, Petru; Shafrir, Itai Distances between classes of sphere-valued Sobolev maps, Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, p. 677 | DOI:10.1016/j.crma.2016.05.001

Cité par 4 documents. Sources : Crossref