36 citations · 97 across the 22 of their papers we have counts for
9 papers · 1 filter
Maximisers for the second Neumann eigenvalue of annuli in two-dimensional space forms
Luigi Provenzano, Alessandro Savo
We prove a sharp Szegö-Weinberger-type inequality for balanced doubly connected domains in , and . More precisely, the first positive Neuman…
Isoperimetric inequalities and sharp upper bounds for Aharonov-Bohm eigenvalues on surfaces
Marco Michetti, Luigi Provenzano, Alessandro Savo
We consider the first eigenvalue of the magnetic Laplacian with zero magnetic field on simply connected compact surfaces and we establish isoperimetric inequalities and upper bound…
On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
Luigi Provenzano, Alessandro Savo
We prove that geodesic disks are the unique maximizers of the first positive Neumann eigenvalue among all simply connected domains in with prescribed area. We then sh…
A reverse Faber-Krahn inequality for the magnetic Laplacian
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the first eigenvalue of the magnetic Laplacian in a bounded and simply connected planar domain, with uniform magnetic field and Neumann boundary conditions. We investig…
Geometry of the magnetic Steklov problem on Riemannian annuli
Luigi Provenzano, Alessandro Savo
We study the geometry of the first two eigenvalues of a magnetic Steklov problem on an annulus (a compact Riemannian surface with genus zero and two boundary components), the m…
Geometric bounds for the magnetic Neumann eigenvalues in the plane
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the eigenvalues of the magnetic Laplacian on a bounded domain of with uniform magnetic field and magnetic Neumann boundary conditions. We find u…
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential
Bruno Colbois, Luigi Provenzano, Alessandro Savo
We discuss isoperimetric inequalities for the magnetic Laplacian on bounded domains of endowed with an Aharonov-Bohm potential. When the flux of the potential around…
Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains
Bruno Colbois, Alessandro Savo
We study the Laplacian with zero magnetic field acting on complex functions of a planar domain , with magnetic Neumann boundary conditions. If is simply connected then the s…
The Steklov spectrum of cuboids
Alexandre Girouard, Jean Lagacé, Iosif Polterovich +1
The paper is concerned with the Steklov eigenvalue problem on cuboids of arbitrary dimension. We prove a two-term asymptotic formula for the counting function of Steklov eigenvalue…