Higher order intrinsic weak differentiability and Sobolev spaces between manifolds

DOI10.1515/acv-2017-0008zbMath1417.58008arXiv1702.07171OpenAlexW3099738526MaRDI QIDQ2311872

Jean Van Schaftingen, Alexandra Convent

Publication date: 4 July 2019

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

Full work available at URL: https://arxiv.org/abs/1702.07171

zbMATH Keywords

covariant derivativeSobolev mapsdensity of smooth mapscolocal weak derivative

Mathematics Subject Classification ID

Manifolds of mappings (58D15)

Related Items

Nonholonomic and constrained variational mechanics ⋮ Geometric Finite Elements

Cites Work

• Boundary partial regularity for a class of biharmonic maps
• Intrinsically \(p\)-biharmonic maps
• New geometric flows on Riemannian manifolds and applications to Schrödinger-Airy flows
• The imbedding problem for Riemannian manifolds
• Boundary regularity and the Dirichlet problem for harmonic maps
• Higher vector bundles and multi-graded symplectic manifolds
• Regularity of polyharmonic maps in the critical dimension
• Duality functors for triple vector bundles
• Geometric partial differentiability on manifolds: the tangential derivative and the chain rule
• Partial regularity for biharmonic maps, revisited
• Sobolev Peano cubes
• A regularity result for polyharmonic maps with higher integrability
• Functional analysis, Sobolev spaces and partial differential equations
• Infima of energy functionals in homotopy classes of mappings
• Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
• Density of smooth functions between two manifolds in Sobolev spaces
• On the differential geometry of tangent bundles of Riemannian manifolds. II
• The approximation problem for Sobolev maps between two manifolds
• On the geometry of tangent bundles
• Sobolev spaces on Riemannian manifolds
• Topology of Sobolev mappings. II.
• On polyharmonic maps into spheres in the critical dimension
• Strong density for higher order Sobolev spaces into compact manifolds
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• \(C^1\) isometric imbeddings
• Intrinsic colocal weak derivatives and Sobolev spaces between manifolds
• Introduction to Topological Manifolds
• A Variational Problem Pertaining to Biharmonic Maps
• Sobolev Mappings between Manifolds and Metric Spaces
• Boundary regularity for polyharmonic maps in the critical dimension
• Differential Topology
• Functional Analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item