5 citations · 6 across the 9 of their papers we have counts for
8 papers · 1 filter
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 $Ω…
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…
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…
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.…
Lower bounds for the first eigenvalue of the magnetic Laplacian
Bruno Colbois, Alessandro Savo
We consider a Riemannian cylinder endowed with a closed potential 1-form A and study the magnetic Laplacian with magnetic Neumann boundary conditions associated with those data. We…