Affiliation:
1. Dipartimento di Scienze Matematiche, Fisiche e Informatiche Università di Parma Parma Italy
2. Dipartimento di Matematica e Informatica Università degli Studi di Ferrara Ferrara Italy
Abstract
AbstractWe prove a lower bound on the first eigenvalue of the fractional Dirichlet–Laplacian of order on planar open sets, in terms of their inradius and topology. The result is optimal, in many respects. In particular, we recover a classical result proved independently by Croke, Osserman, and Taylor, in the limit as goes to 1. The limit as goes to is carefully analyzed, as well.
Funder
Università degli Studi di Ferrara