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.
A nonlocal approximation of the area in codimension two
Caselli, Michele
;Freguglia, Mattia;Picenni, Nicola
In corso di stampa
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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