For s∈(0,1) we introduce a notion of fractional s-mass on (n-2)-dimensional closed, oriented surfaces in R^n. Moreover, we prove its Γ-convergence, with respect to the flat topology, to the (n-2)-dimensional area, as s tends to 1.
Caselli, M., Freguglia, M., Picenni, N. (2026). A nonlocal approximation of the area in codimension two. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE [10.4171/aihpc/189].
A nonlocal approximation of the area in codimension two
Picenni, Nicola
2026-01-01
Abstract
For s∈(0,1) we introduce a notion of fractional s-mass on (n-2)-dimensional closed, oriented surfaces in R^n. Moreover, we prove its Γ-convergence, with respect to the flat topology, to the (n-2)-dimensional area, as s tends to 1.File in questo prodotto:
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