28 citations · 87 across the 41 of their papers we have counts for
4 papers · 1 filter
-convergence of non-local, non-convex functionals in one dimension
Haim Brezis, Hoai-Minh Nguyen
We study the -convergence of a family of non-local, non-convex functionals in for , where is an open interval. We show that the limit is a multiple of the…
Non-local, non-convex functionals converging to Sobolev norms
Haim Brezis, Hoai-Minh Nguyen
We study the pointwise convergence and the -convergence of a family of non-local, non-convex functionals in for . We show that the limits are multiples of $\…
On Hardy and Caffarelli-Kohn-Nirenberg inequalities
Hoai-Minh Nguyen, Marco Squassina
We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which hav…
The BBM formula revisited
Haim Brezis, Hoai-Minh Nguyen
In this paper, we revise the BBM formula due to J. Bourgain, H. Brezis, and P. Mironescu in [1].