10 citations · 15 across the 16 of their papers we have counts for
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Quantitative spectral stability for the Neumann Laplacian in domains with small holes
Veronica Felli, Lorenzo Liverani, Roberto Ognibene
The aim of the present paper is to investigate the behavior of the spectrum of the Neumann Laplacian in domains with little holes excised from the interior. More precisely, we cons…
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…
Quantitative spectral stability for Aharonov-Bohm operators with many coalescing poles
Veronica Felli, Benedetta Noris, Roberto Ognibene +1
The behavior of simple eigenvalues of Aharonov-Bohm operators with many coalescing poles is discussed. In the case of half-integer circulation, a gauge transformation makes the pro…
Sharp behavior of Dirichlet--Laplacian eigenvalues for a class of singularly perturbed problems
Laura Abatangelo, Roberto Ognibene
We deepen the study of Dirichlet eigenvalues in bounded domains where a thin tube is attached to the boundary. As its section shrinks to a point, the problem is spectrally stable a…