Mattia Freguglia

activity

20242026

collaborators

7 papers

math.DG2026

Another look at a notion of fractional mass in codimension two

Michele Caselli, Mattia Freguglia, Nicola Picenni

We study a notion of fractional $s$ -mass for codimension-two currents on closed Riemannian manifolds, defined via energy minimization with a prescribed Jacobian constraint. We prov…

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.DG2025

Min-max theory and Yamabe metrics on conical four-manifolds

Mattia Freguglia, Andrea Malchiodi, Francesco Malizia

We prove existence of Yamabe metrics on four-manifolds possessing finitely-many conical points with $Z_{2}$ -group, using for the first time a min-max scheme in the singular…

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…

math.DG2024

A nonlocal approximation of the area in codimension two

Michele Caselli, Mattia Freguglia, Nicola Picenni

For $s \in (0, 1)$ we introduce a notion of fractional $s$ -mass on $(n - 2)$ -dimensional closed, orientable surfaces in $R^{n}$ . Moreover, we prove its $Γ$ -convergence, with respect to…

Another look at a notion of fractional mass in codimension two

Γ-convergence for higher order nonlocal phase transitions

Min-max theory and Yamabe metrics on conical four-manifolds

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

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

A nonlocal approximation of the area in codimension two

$Γ$ -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