M. Solci

collaborators

4 papers

math.AP2026

Asymptotic analysis of fractional Sobolev spaces on thin films in the low-integrability regime

Andrea Braides, Andrea Pinamonti, Margherita Solci

We study the behaviour of fractional Sobolev spaces $H^{s} (I^c ◯_{ε})$ with $s \in (0, 1/2)$ defined on ``thin films'' $I^c ◯_{ε} = I ¨ \times (0, ε)$ in $R^{d}$ , a…

math.AP2026

A Bourgain-Brezis-Mironescu result for fractional thin films

Andrea Braides, Margherita Solci

We consider the limit of squared $H^{s}$ -Gagliardo seminorms on thin domains of the form $I^c ◯_{ε} = I ¨ \times (0, ε)$ in $R^{d}$ . When $ε$ is fixed, multi…

math.AP2026

Dimension reduction of fractional Sobolev seminorms on thin domains

Andrea Braides, Andrea Pinamonti, Margherita Solci

We study the asymptotic behaviour of Gagliardo seminorms in $H^{s}$ defined on thin films $Î©_\e=Ï\times(0,\e)$. The first relevant order is $\e^{1-2s}$, at which the corresponding…

math.AP2025

Local interpolation techniques for higher-order singular perturbations of non-convex functionals: free-discontinuity problems

Margherita Solci

We develop a general approach, using local interpolation inequalities, to non-convex integral functionals depending on the gradient with a singular perturbation by derivatives of o…