Giorgio Stefani

collaborators

3 papers

math.AP2025

On the $I^$ -limit of weighted fractional energies

Andrea Kubin, Giorgio Saracco, Giorgio Stefani

Given $p \in [1, \infty)$ and a bounded open set $I^c ◯ \subset R^{d}$ with Lipschitz boundary, we study the $I^$ -convergence of the weighted fractional seminorm \[ [u]_{s,p,f}^p = \…

math.AP2025

Sharp conditions for the BBM formula and asymptotics of heat content-type energies

Luca Gennaioli, Giorgio Stefani

Given $p \in [1, \infty)$ , we provide sufficient and necessary conditions on the non-negative measurable kernels $(I ¨ _{t})_{t \in (0, 1)}$ ensuring convergence of the associated Bourgain-B…

math.FA2024

On the $N$ -Cheeger problem for component-wise increasing norms

Giorgio Saracco, Giorgio Stefani

We study Cheeger and $p$ -eigenvalue partition problems depending on a given evaluation function $I^¦$ for $p \in [1, \infty)$ . We prove existence and regularity of minima, relations am…

On the I^-limit of weighted fractional energies

Sharp conditions for the BBM formula and asymptotics of heat content-type energies

On the N-Cheeger problem for component-wise increasing norms

On the $I^$ -limit of weighted fractional energies

On the $N$ -Cheeger problem for component-wise increasing norms