From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
Rigidity of an overdetermined heat equation and minimal helicoids in space-forms
Andrea Bisterzo, Alessandro Savo
Let be a Riemannian manifold and a smooth domain of . We study the following heat diffusion problem: assume that the initial temperature is equal to , uniformly on $…
Magnetic ground states and the conformal class of a surface
Bruno Colbois, Luigi Provenzano, Alessandro Savo
On a closed, orientable Riemannian surface of arbitrary genus and Riemannian metric we study the magnetic Laplacian with magnetic potential given by a harmonic…
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…