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A case of density in \(W^{2,p}(M;N)\)

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Publication:935352
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DOI10.1016/j.crma.2008.05.006zbMath1156.46010OpenAlexW2171223121MaRDI QIDQ935352

Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen

Publication date: 6 August 2008

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.2008.05.006



Mathematics Subject Classification ID

Summability and bases in topological vector spaces (46A35) Manifolds of mappings (58D15)


Related Items

Density of smooth maps in \(W^{k,p}(M, N)\) for a close to critical domain dimension ⋮ Strong density for higher order Sobolev spaces into compact manifolds



Cites Work

  • Boundary regularity and the Dirichlet problem for harmonic maps
  • A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
  • Harmonic maps with defects
  • Density of smooth functions between two manifolds in Sobolev spaces
  • The approximation problem for Sobolev maps between two manifolds
  • Topology of Sobolev mappings. II.
  • Degree theory of BMO. I: Compact manifolds without boundaries
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