5 citations · 6 across the 7 of their papers we have counts for
9 papers
Isoparametric foliations and the Pompeiu problem
Luigi Provenzano, Alessandro Savo
A bounded domain in a Riemannian manifold is said to have the Pompeiu property if the only continuous function which integrates to zero on and on all its congruent imag…
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…
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…
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…
Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds
Alessandro Savo
We consider the first eigenvalue of the Laplacian with Robin boundary conditions on a compact Riemannian manifold with smooth boundary, being the Robin b…
Index and first Betti number of -minimal hypersurfaces and self-shrinkers
Debora Impera, Michele Rimoldi, Alessandro Savo
We study the Morse index of self-shrinkers for the mean curvature flow and, more generally, of -minimal hypersurfaces in a weighted Euclidean space endowed with a convex weight.…