Mattia Freguglia

activity

20222026

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math.AP2025

$Γ$ -convergence for higher order nonlocal phase transitions

Hardy Chan, Serena Dipierro, Mattia Freguglia +2

For every $0 < s < 3/4$ , we study the asymptotic behavior of the $ε$ -rescaled sum of the $s$ -fractional Allen-Cahn energy and the squared $L^{2}$ -norm of its first variation…

math.AP2025

Coercivity and Gamma-convergence of the $p$ -energy of sphere-valued Sobolev maps

Michele Caselli, Mattia Freguglia, Nicola Picenni

We consider sequences of maps from an $(n + m)$ -dimensional domain into the $(n - 1)$ -sphere, which satisfy a natural $p$ -energy growth, as $p$ approaches $n$ from below. We prove that…

math.AP2024

$Γ$ -Limsup estimate for a nonlocal approximation of the Willmore functional

Hardy Chan, Mattia Freguglia, Marco Inversi

We propose a possible nonlocal approximation of the Willmore functional, in the sense of Gamma-convergence, based on the first variation ot the fractional Allen-Cahn energies, and…

Γ-convergence for higher order nonlocal phase transitions

Coercivity and Gamma-convergence of the p-energy of sphere-valued Sobolev maps

Γ-Limsup estimate for a nonlocal approximation of the Willmore functional

$Γ$ -convergence for higher order nonlocal phase transitions

Coercivity and Gamma-convergence of the $p$ -energy of sphere-valued Sobolev maps

$Γ$ -Limsup estimate for a nonlocal approximation of the Willmore functional