7 citations · 15 across the 14 of their papers we have counts for
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Lower bounds and Poincaré inequality for the Brezis-Seeger-Van Schaftingen-Yung functionals
Nicola Picenni
We consider a family of non-local and non-convex functionals depending on three real parameters , which was introduced by H. Brezis, A. Seeger, J. Van Schaftingen and P. L…
Gamma-liminf estimate for a class of non-local approximations of Sobolev and BV norms
Massimo Gobbino, Nicola Picenni
We consider a family of non-local and non-convex functionals, and we prove that their Gamma-liminf is bounded from below by a positive multiple of the Sobolev norm or the total var…
New estimates for a class of non-local approximations of the total variation
Nicola Picenni
We consider a class of non-local functionals recently introduced by H. Brezis, A. Seeger, J. Van Schaftingen, and P.-L. Yung, which offers a novel way to characterize functions wit…
On the characterization of constant functions through nonlocal functionals
Massimo Gobbino, Nicola Picenni
We address a classical open question by H.Brezis and R.Ignat concerning the characterization of constant functions through double integrals that involve difference quotients. Our f…
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…