A nonlocal approximation of the area in codimension two
Abstract
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 .
Fields of Study & Subjects
Differential Equations and Boundary Problems
Mathematical functions and polynomials
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Annales de l Institut Henri Poincaré C Analyse Non Linéaire
- Publication date
- 3 August 2026
- Language
- EN