Topology of Sobolev mappings. IV

DOI10.3934/dcds.2005.13.1097zbMath1093.46017OpenAlexW2022165482MaRDI QIDQ2574720

Fang-Hua Lin, Feng Bo Hang

Publication date: 30 November 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.13.1097

zbMATH Keywords

Dirichlet boundary conditionsobstruction theorydensity of smooth maps\(k\)-homotopy classes

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation with constraints (41A29) Manifolds of mappings (58D15)

Related Items (7)

THE PONTRJAGIN–HOPF INVARIANTS FOR SOBOLEV MAPS ⋮ Area minimizing surfaces in homotopy classes in metric spaces ⋮ The relaxed Dirichlet energy of manifold constrained mappings ⋮ On the distance between homotopy classes of maps between spheres ⋮ Orientability and energy minimization in liquid crystal models ⋮ Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps ⋮ Strong density results in trace spaces of maps between manifolds

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