Optimal estimates for Neumann eigenvalues
Venue: Antoine Henrot - Aula Magna (Dipartimento di Matematica, Università di Torino)
The aim of this talk is to give estimates, if possible optimal, of the Neumann eigenvalues of the Laplacian in terms of simple geometric quantities like the volume, the perimeter or the diameter. In some cases, we will restrict to convex domains. This leads to interesting shape optimization problems. The more recent results have been obtained in collaboration with Dorin Bucur, Marco Michetti, Antoine Lemenant and Ilaria Lucardesi.
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