geodesic disks 1isoperimetric inequality 1neumann eigenvalue 1spectral optimization 1spherical domains 1
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math.SP2026
On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
Luigi Provenzano, Alessandro Savo
The authors prove that among simply connected domains on the unit sphere with a given area, geodesic disks uniquely maximize the first positive Neumann eigenvalue, and they show th…
math.SP2026
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…
math.SP2024
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…