On sequences of maps with finite energies in trace spaces between manifolds

DOI10.1515/acv.2011.012zbMath1260.49083OpenAlexW2333947330MaRDI QIDQ2882721

Domenico Mucci

Publication date: 7 May 2012

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

Full work available at URL: https://doi.org/10.1515/acv.2011.012

zbMATH Keywords

Riemannian manifoldscurrentstrace spacesrelaxed energies

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75)

Cites Work

• Unnamed Item
• The homological singularities of maps in trace spaces between manifolds
• Area-minimizing currents bounded by higher multiples of curves
• Connecting rational homotopy type singularities
• Strong density results in trace spaces of maps between manifolds
• The Dirichlet energy of mappings with values into the sphere
• Dense subsets of \(H^{1/2}(S^2,S^1)\)
• Topology of Sobolev mappings. II.
• On the minimizers of the relaxed energy functional of mappings from higher dimensional balls into \(S^{2}\)
• Normal and integral currents
• 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
• The problem of Plateau on a Riemannian manifold
• Density results relative to the Dirichlet energy of mappings into a manifold
• The relaxed Dirichlet energy of manifold constrained mappings
• Approximations in trace spaces defined between manifolds
• Topology of Sobolev mappings III

This page was built for publication: On sequences of maps with finite energies in trace spaces between manifolds