Topology of Sobolev mappings III

DOI10.1002/cpa.10098zbMath1038.46026OpenAlexW2121313837MaRDI QIDQ4434535

Fang-Hua Lin, Feng Bo Hang

Publication date: 10 November 2003

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.10098

zbMATH Keywords

Sobolev mappingssequential weak density

Mathematics Subject Classification ID

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

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On global singularities of Sobolev mappings, On sequences of maps with finite energies in trace spaces between manifolds, Topology of Sobolev mappings. II., THE PONTRJAGIN–HOPF INVARIANTS FOR SOBOLEV MAPS, Density of bounded maps in Sobolev spaces into complete manifolds, Uniform boundedness principles for Sobolev maps into manifolds, Connecting rational homotopy type singularities, On the distance between homotopy classes of maps between spheres, Obstruction theory for the approximation and the deformation problems for Sobolev mappings, Geometry of interactions in complex bodies, Sobolev Mappings between Manifolds and Metric Spaces, Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces, Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps, Topological and analytical properties of Sobolev bundles. I: The critical case, Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\)

Cites Work

• Minimizing fibrations and \(p\)-harmonic maps in homotopy classes from \(S^3\) into \(S^2\)
• Topology of Sobolev mappings
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