The relaxed Dirichlet energy of manifold constrained mappings

DOI10.1515/ACV.2008.001zbMath1157.49043OpenAlexW2166427550MaRDI QIDQ3516734

Giuseppe Modica, Mariano Giaquinta, Domenico Mucci

Publication date: 11 August 2008

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2008.001

zbMATH Keywords

relaxed energycurrentsDirichlet energySobolev mappings between Riemannian manifolds

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75)

Related Items (4)

On sequences of maps with finite energies in trace spaces between manifolds ⋮ The homological singularities of maps in trace spaces between manifolds ⋮ Relaxation in SBV\(_{p } (\varOmega ; S ^{d-1})\) ⋮ Homogenization of variational problems in manifold valued Sobolev spaces

Cites Work

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• The approximation problem for Sobolev maps between two manifolds
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• On the minimizers of the relaxed energy functional of mappings from higher dimensional balls into \(S^{2}\)
• On sequences of maps into a manifold with equibounded \(W^{1/2}\)-energies
• The relaxed Dirichlet energy of mappings into a manifold
• Density results for the \(W^{1/2}\) energy of maps into a manifold
• Topology of Sobolev mappings. IV
• Density results relative to the Dirichlet energy of mappings into a manifold
• Approximations in trace spaces defined between manifolds

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