H. Brezis

activity

20132022

most citedGoing to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

21 citations · 65 across the 12 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.OC2016

Non-local functionals related to the total variation and connections with Image Processing

Haim Brezis, Hoai-Minh Nguyen

We present new results concerning the approximation of the total variation, $\int_{Ω} ∣\nabla u ∣$ , of a function $u$ by non-local, non-convex functionals of the form $$ Λ_δu = \int_Ω…

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★ 5 cited

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…

math.FA2016★ 3 cited

Distances between classes in $W^{1, 1} (Ω; S^{1})$

Haim Brezis, Petru Mironescu, Itai Shafrir

We introduce an equivalence relation on the space $W^{1, 1} (Ω; S^{1})$ which classifies maps according to their "topological singularities". We establish sharp bounds for the…

Non-local functionals related to the total variation and connections with Image Processing

The BBM formula revisited

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

Distances between classes in W1,1(Ω;S1)

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

Distances between classes in $W^{1, 1} (Ω; S^{1})$