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math.SP2026
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…
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.SP2026
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…