A. Julia

activity

20192024

most citedArea of intrinsic graphs and coarea formula in Carnot Groups

4 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CA2020★ 4 cited

Area of intrinsic graphs and coarea formula in Carnot Groups

Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone

We consider submanifolds of sub-Riemannian Carnot groups with intrinsic $C^{1}$ regularity ( $C_{H}^{1}$ ). Our first main result is an area formula for $C_{H}^{1}$ intrinsic graphs; as an app…

math.AP2020

Uniform energy distribution in a pattern-forming system of surface charges

Katarina Bellova, Antoine Julia, Felix Otto

We consider a variational model for a charge density $u \in {- 1, 1}$ on a (hyper)plane, with a short-range attraction coming from the interfacial energy and a long-range repulsion c…

math.CA2020

Intrinsic rectifiability via flat cones in the Heisenberg group

Antoine Julia, Sebastiano Nicolussi Golo

We give a geometric criterion for a topological surface in the first Heisenberg group to be an intrinsic Lipschitz graph, using planar cones instead of the usual open cones.