5 citations · 10 across the 4 of their papers we have counts for
7 papers
An isoperimetric problem with two distinct solutions
Antoine Henrot, Antoine Lemenant, Ilaria Lucardesi
In this paper we prove that among all convex domains of the plane with two axis of symmetry, the maximizer of the first non trivial Neumann eigenvalue with perimeter constrai…
A Blaschke-Lebesgue Theorem for the Cheeger constant
Antoine Henrot, Ilaria Lucardesi
In this paper we prove a new extremal property of the Reuleaux triangle: it maximizes the Cheeger constant among all bodies of (same) constant width. The proof relies on a fine ana…
Body of constant width with minimal area in a given annulus
Antoine Henrot, Ilaria Lucardesi
In this paper we address the following shape optimization problem: find the planar domain of least area, among the sets with prescribed constant width and inradius. In the literatu…
Crack growth by vanishing viscosity in planar elasticity
Stefano Almi, Giuliano Lazzaroni, Ilaria Lucardesi
We show the existence of quasistatic evolutions in a fracture model for brittle materials by a vanishing viscosity approach, in the setting of planar linearized elasticity. The cra…
Upscaling of screw dislocations with increasing tangential strain
Ilaria Lucardesi, Marco Morandotti, Riccardo Scala +1
The upscaling of a system of screw dislocations in a material subject to an external strain is studied. The -limit of a suitable rescaling of the renormalized energy is characte…
Minimization of the eigenvalues of the dirichlet-laplacian with a diameter constraint
B Bogosel, A Henrot, I Lucardesi
In this paper we look for the domains minimizing the h-th eigenvalue of the Dirichlet-Laplacian h with a constraint on the diameter. Existence of an optimal domain is easily ob…