7 citations · 15 across the 14 of their papers we have counts for
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math.FA2017★ 5 cited
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.…
math.FA2017★ 7 cited
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…