A nonlocal approximation of the area in codimension two
For s \in (0,1) we introduce a notion of fractional s -mass on (n-2) -dimensional closed, oriented surfaces in \mathbb{R}^{n} . Moreover, we prove its \Gamma -convergence, with respect to the flat topology, to the (n-2) -dimensional area, as s tends to 1 .
Authors
- Nicola Picenni
- Mattia Freguglia
- Michele Caselli
Institutions
- University of Pisa (IT)
- The University of Sydney (AU)
- Princeton University (US)
- Bocconi University (IT)
Publication Details
- Journal
- Annales de l Institut Henri Poincaré C Analyse Non Linéaire
- Published
- 2026-08-03
- DOI
- https://doi.org/10.4171/aihpc/189
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation