Giorgio Stefani

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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…

On the I^-limit of weighted fractional energies

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

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