H. Brezis

activity

20162019

collaborators

4 papers

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.FA2018

Radial extensions in fractional Sobolev spaces

Haim Brezis, Petru Mironescu, Itai Shafrir

Given $f : \partial (- 1, 1)^{n} \to R$ , consider its radial extension $T f (X) := f (X /∥ X ∥_{\infty})$ , $\forall X \in [- 1, 1]^{n} ∖ {0}$ . In "On some questions of topology fo…

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].

math.FA2016

Distances between homotopy classes of $W^{s, p} (S^{N}; S^{N})$

Haim Brezis, Petru Mironescu, Itai Shafrir

We introduce an equivalence relation on $W^{s, p} (S^{N}; S^{N})$ involving the topological degree, and we evaluate the distances (in the usual sense and in the Hausdo…

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

Radial extensions in fractional Sobolev spaces

The BBM formula revisited

Distances between homotopy classes of Ws,p(SN;SN)

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

Distances between homotopy classes of $W^{s, p} (S^{N}; S^{N})$