‎‎ ‎ ‎‎ ‎ ‎‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ New Challenges in Calculus of Variations

Asymptotic expansion of the relative s-fractional perimeter as s->0.

16 Jul 2026, 14:30

50m

Aula Dini (Palazzo del Castelletto)

Speaker

Lucia De Luca (CNR, Roma)

Description

We prove a first-order Gamma-convergence result for the relative s-fractional perimeter, as s->0, with respect to a given bounded set and prescribed exterior data. We investigate the robustness of our approach under perturbations of the exterior data and in the presence of volume constraints. We then use the Gamma-convergence expansion to study the asymptotic behavior of s-minimal sets as s->0.
Joint work with G. Palatucci, M. Piccinini, and M. Ponsiglione.