36 citations · 132 across the 36 of their papers we have counts for
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math.OC2014
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…
math.OC2014★ 4 cited
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…