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math.AP2022
Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications
Giacomo Ascione, József Lőrinczi
In a first part of this paper we investigate the continuity (stability) of the spectrum of a class of non-local Schrödinger operators on varying the potentials. By imposing conditi…
math.AP2021
A matrix Harnack inequality for semilinear heat equations
Giacomo Ascione, Daniele Castorina, Giovanni Catino +1
We derive a matrix version of Li \& Yau--type estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative sectional curvatures and parall…
math.AP2020
The orthotropic -Laplace eigenvalue problem of Steklov type as
Giacomo Ascione, Gloria Paoli
We study the Steklov eigenvalue problem for the orthotropic Laplace operator defined on convex sets of , with , considering the limit for $p\to+\inft…