37 citations · 81 across the 34 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
A surgery result for the spectrum of the Dirichlet Laplacian
Dorin Bucur, Dario Mazzoleni
In this paper we give a method to geometrically modify an open set such that the first eigenvalues of the Dirichlet Laplacian and its perimeter are not increasing, its measure…