Michele Caselli

activity

20242026

collaborators

6 papers

math.DG2026

Tetrahedral points and classification of Almgren-minimizing sets in $R^{3}$

Michele Caselli, Zachary Lihn

We prove that a two-dimensional Almgren-minimizing set in three dimensions which is sufficiently close in Hausdorff distance to a tetrahedral cone contains an interior tetrahedral…

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

Saddle solution to the complex Ginzburg-Landau system in three dimensions

Michele Caselli, Nicola Picenni

We construct an entire saddle solution to the non-magnetic complex Ginzburg-Landau system in three dimensions, whose zero set is the union of two perpendicular, intersecting lines,…

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

Stable $s$ -minimal cones in $R^{2}$ are flat for $s \sim 0$

Michele Caselli

For $s \in (0, 1)$ small, we show that the only cones in $R^{2}$ stationary for the $s$ -perimeter and stable in $R^{2} ∖ {0}$ are half-planes. This is in dir…

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…

Tetrahedral points and classification of Almgren-minimizing sets in R3

Another look at a notion of fractional mass in codimension two

Saddle solution to the complex Ginzburg-Landau system in three dimensions

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

Stable s-minimal cones in R2 are flat for s∼0

A nonlocal approximation of the area in codimension two

Tetrahedral points and classification of Almgren-minimizing sets in $R^{3}$

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

Stable $s$ -minimal cones in $R^{2}$ are flat for $s \sim 0$