Antoine Detaille

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20202025

most citedA decomposition for Borel measures

μ \leq H^{s}

1 citations · 1 across the 7 of their papers we have counts for

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math.CA2025

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…

math.CA2020★ 1 cited

A decomposition for Borel measures $μ \leq H^{s}$

Antoine Detaille, Augusto C. Ponce

We prove that every finite Borel measure $μ$ in $R^{N}$ that is bounded from above by the Hausdorff measure $H^{s}$ can be split in countable many parts $μ\lfloor_{E…

Heterotopic energy for Sobolev mappings

A decomposition for Borel measures μ≤Hs

A decomposition for Borel measures $μ \leq H^{s}$