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Homotopy types for tamely approximable Sobolev maps between manifolds

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Publication:1917676
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DOI10.1007/BF01190824zbMath0884.58030MaRDI QIDQ1917676

Giandomenico Orlandi, Sisto Baldo

Publication date: 15 April 1998

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)


zbMATH Keywords

Sobolev spaceshomotopy typetame approximability


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Manifolds of mappings (58D15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)




Cites Work

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  • Infima of energy functionals in homotopy classes of mappings
  • A direct variational approach to Skyrme's model for meson fields
  • Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
  • Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
  • The approximation problem for Sobolev maps between two manifolds
  • The Dirichlet integral for mappings between manifolds: Cartesian currents and homology
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