Distances between homotopy classes ofWs,p(𝕊N;𝕊N)

DOI10.1051/cocv/2016037zbMath1371.46027arXiv1606.04687OpenAlexW3099260542MaRDI QIDQ2835357

Itai Shafrir, Haim Brezis, Petru Mironescu

Publication date: 2 December 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04687

zbMATH Keywords

Sobolev spaceshomotopy classesdegreesphere-valued mappings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40)

Related Items

Distances between classes of sphere-valued Sobolev maps, Some of my favorite open problems, Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\), Where Sobolev interacts with Gagliardo-Nirenberg, On the distance between homotopy classes in \(W^{1/p,p}(\mathbb{S}^1;\mathbb{S}^1)\)

Cites Work

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• Large solutions for harmonic maps in two dimensions
• Boundary regularity and the Dirichlet problem for harmonic maps
• A boundary value problem related to the Ginzburg-Landau model
• Lifting 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
• Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling
• Lifting, degree, and distributional Jacobian revisited