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 ${\mathbb{R}}^n$. Moreover, we prove its $\Gamma$-convergence, with respect to…