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math.AP2023
On the spectrum of sets made of cores and tubes
Francesca Bianchi, Lorenzo Brasco, Roberto Ognibene
We analyze the spectral properties of a particular class of unbounded open sets. These are made of a central bounded ``core'', with finitely many unbounded tubes attached to it. We…
math.AP2023★ 5 cited
An optimal lower bound in fractional spectral geometry for planar sets with topological constraints
Francesca Bianchi, Lorenzo Brasco
We 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 optima…