Approximations in trace spaces defined between manifolds

DOI10.1016/0362-546X(93)E0025-XzbMath0824.58011OpenAlexW2058414081MaRDI QIDQ4328015

Fabrice Bethuel

Publication date: 16 November 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)e0025-x

zbMATH Keywords

Sobolev spacetracecompact Riemannian manifoldstopologysmooth maps

Mathematics Subject Classification ID

Differentiable maps on manifolds (58C25)

Related Items (12)

On sequences of maps with finite energies in trace spaces between manifolds ⋮ \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation ⋮ Degree theory of BMO. I: Compact manifolds without boundaries ⋮ The homological singularities of maps in trace spaces between manifolds ⋮ The relaxed Dirichlet energy of manifold constrained mappings ⋮ Unnamed Item ⋮ Strong approximation of fractional Sobolev maps ⋮ Strong density results in trace spaces of maps between manifolds ⋮ On the multiple existence of superquadratic Dirac-harmonic maps into flat tori ⋮ On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies ⋮ Density results for the \(W^{1/2}\) energy of maps into a manifold ⋮ Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\)

Cites Work

• Unnamed Item
• Boundary regularity and the Dirichlet problem for harmonic maps
• Infima of energy functionals in homotopy classes of mappings
• Density of smooth functions between two manifolds in Sobolev spaces
• Mappings minimizing theLp norm of the gradient

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