The first eigenvalue of the (fractional) Dirichlet-Laplacian vs. the infradius. – Francesca Bianchi (Università di Ferrara)

Venue

Sala Seminari (Dip. Matematica).

Abstract

To attend in presence you need to fill in an online form, while to follow remotely you need a Google Meet link. Both of them are available at: https://seminarimap.wixsite.com/seminarimap/2021-2022/francesca-bianchi ABSTRACT: We discuss for geometrical estimates for the first eigenvalue of the Dirichlet-Laplacian of planar sets. In particular, we focus on a lower bound in terms of the inradius, for convex sets and simply connected ones. We also discuss the existence of fractional counterparts for such an estimate.

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