Michele Caselli

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20242026

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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…

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

A nonlocal approximation of the area in codimension two

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