Distances between classes of sphere-valued Sobolev maps

DOI10.1016/J.CRMA.2016.05.001zbMath1375.58010OpenAlexW2397142084MaRDI QIDQ292516

Petru Mironescu, Itai Shafrir, Haim Brezis

Publication date: 8 June 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.05.001

zbMATH Keywords

distances between homotopy classesSobolev mapssphere-valued Sobolev maps

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Manifolds of mappings (58D15)

Related Items (1)

Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\)

Cites Work

• Unnamed Item
• Density of smooth functions between two manifolds in Sobolev spaces
• Degree theory of BMO. I: Compact manifolds without boundaries
• On the distance between homotopy classes of maps between spheres
• The distance between homotopy classes of \(S^{1}\)-valued maps in multiply connected domains
• Distances between homotopy classes ofW^s,p(𝕊^N;𝕊^N)

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