36 citations · 132 across the 36 of their papers we have counts for
4 papers · 1 filter
A new isoperimetric inequality for the elasticae
Dorin Bucur, Antoine Henrot
For a smooth curve , we define its elastic energy as where is the curvature. The main purpose of the paper is to prove that among all s…
Elastic energy of a convex body
Chiara Bianchini, Antoine Henrot, Takeo Takahashi
In this paper a Blaschke-Santaló diagram involving the area, the perimeter and the elastic energy of planar convex bodies is considered. More precisely we give a description of set…
On the minimization of total mean curvature
Jeremy Dalphin, Antoine Henrot, Simon Masnou +1
In this paper we are interested in possible extensions of an inequality due to Minkowski: valid for any regular open set $Ω\subs…
Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift
Barbara Brandolini, Francesco Chiacchio, Antoine Henrot +1
This paper deals with the eigenvalue problem for the operator with Dirichlet boundary conditions. We are interested in proving the existence of a set minimizi…