10 citations · 32 across the 13 of their papers we have counts for
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About the Blaschke-Santalo diagram of area, perimeter and moment of inertia
Raphael Gastaldello, Antoine Henrot, Ilaria Lucardesi
We study the Blaschke-Santaló diagram associated to the area, the perimeter, and the moment of inertia. We work in dimension 2, under two assumptions on the shapes: convexity and t…
On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
Ilaria Lucardesi, Davide Zucco
We study Blaschke-Santaló diagrams associated to the torsional rigidity and the first eigenvalue of the Laplacian with Dirichlet boundary conditions. We work under convexity and vo…
A variational method for second order shape derivatives
Guy Bouchitté, Ilaria Fragalà, Ilaria Lucardesi
We consider shape functionals obtained as minima on Sobolev spaces of classical integrals having smooth and convex densities, under mixed Dirichlet-Neumann boundary conditions. We…