Preprint

Inserted: 21 jun 2024

Year: 2024

Abstract:

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 the flat topology, and pointwise convergence to the $(n-2)$-dimensional area.