36 citations · 97 across the 22 of their papers we have counts for
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math.DG2020
On the heat content functional and its critical domains
Alessandro Savo
We study and classify smooth bounded domains in an analytic Riemannian manifold which are critical for the heat content at all times t>0. We do that by first computing the first va…
math.AP2020
Upper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains
Bruno Colbois, Alessandro Savo
We obtain upper bounds for the first eigenvalue of the magnetic Laplacian associated to a closed potential -form (hence, with zero magnetic field) acting on complex functions of…
math.SP2020
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…