H. Brezis

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20162019

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math.CA2019

$Γ$ -convergence of non-local, non-convex functionals in one dimension

Haim Brezis, Hoai-Minh Nguyen

We study the $Γ$ -convergence of a family of non-local, non-convex functionals in $L^{p} (I)$ for $p \geq 1$ , where $I$ is an open interval. We show that the limit is a multiple of the…

math.CA2016

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].

Γ-convergence of non-local, non-convex functionals in one dimension

The BBM formula revisited

$Γ$ -convergence of non-local, non-convex functionals in one dimension