Density of smooth maps in \(W^{k,p}(M, N)\) for a close to critical domain dimension

DOI10.1007/S10455-010-9225-1zbMath1207.58012OpenAlexW2143086432MaRDI QIDQ621326

Andreas J. Nerf, Andreas Gastel

Publication date: 2 February 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-010-9225-1

zbMATH Keywords

Sobolev spacemanifoldsdensity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Manifolds of mappings (58D15)

Related Items (2)

Minimizing sequences for conformally invariant integrals of higher order ⋮ Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\)

Cites Work

• Closure of smooth maps in \(W^{1,p}(B^3;S^2)\)
• A case of density in \(W^{2,p}(M;N)\)
• Density of smooth functions between two manifolds in Sobolev spaces
• The approximation problem for Sobolev maps between two manifolds
• Topology of Sobolev mappings. II.
• Weakly Differentiable Functions
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