1 citations · 1 across the 7 of their papers we have counts for
7 papers
A surprising threshold for the validity of the method of singular projection
Antoine Detaille
Given a compact manifold embedded into and a projection that retracts except a singular set of codimension onto $ \…
Heterotopic energy for Sobolev mappings
Antoine Detaille, Jean Van Schaftingen
We study the notion of heterotopic energy defined as the limit of Sobolev energies of Sobolev mappings in a given homotopy class approximating almost everywhere a given Sobolev map…
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds
Antoine Detaille, Jean Van Schaftingen
For any integer , we construct a compact Riemannian manifold such that if , there is a map in the Sobolev space of mappings $ W^…
Generic non-uniqueness of minimizing harmonic maps from a ball to a sphere
Antoine Detaille, Katarzyna Mazowiecka
In this note, we study non-uniqueness for minimizing harmonic maps from to . We show that every boundary map can be modified to a boundary map that admits multi…
An improved dense class in Sobolev spaces to manifolds
Antoine Detaille
We consider the strong density problem in the Sobolev space of maps with values into a compact Riemannian manifold . It is known, from…
A complete answer to the strong density problem in Sobolev spaces with values into compact manifolds
Antoine Detaille
We consider the problem of strong density of smooth maps in the Sobolev space , where , , is the un…
A decomposition for Borel measures
Antoine Detaille, Augusto C. Ponce
We prove that every finite Borel measure in that is bounded from above by the Hausdorff measure can be split in countable many parts $μ\lfloor_{E…