7 citations · 12 across the 2 of their papers we have counts for
3 papers
On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation
Clara Antonucci, Massimo Gobbino, Matteo Migliorini +1
We consider the family of non-local and non-convex functionals introduced by H. Brezis and H.-M. Nguyen in a recent paper. These functionals Gamma-converge to a multiple of the Sob…
On the gap between Gamma-limit and pointwise limit for a non-local approximation of the total variation
Clara Antonucci, Massimo Gobbino, Nicola Picenni
We consider the approximation of the total variation of a function by the family of non-local and non-convex functionals introduced by H. Brezis and H.-M. Nguyen in a recent paper.…
Optimal constants for a non-local approximation of Sobolev norms and total variation
Clara Antonucci, Massimo Gobbino, Matteo Migliorini +1
We consider the family of non-local and non-convex functionals proposed and investigated by J. Bourgain, H. Brezis and H.-M. Nguyen in a series of papers of the last decade. It was…