I. Shafrir

activity

20102025

most citedDistances between homotopy classes of

W^{s, p} (S^{N}; S^{N})

5 citations · 16 across the 14 of their papers we have counts for

collaborators

14 papers

math.AP2025

A mixed eigenvalue problem on domains tending to infinity in several directions

Prosenjit Roy, Itai Shafrir

The aim of this article is to analyze the asymptotic behaviour of the eigenvalues of elliptic operators in divergence form with mixed boundary type conditions for domains that beco…

math.AP2019

A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals

Dmitry Golovaty, Itai Shafrir

We study the asymptotic behavior, when $ε \to 0$ , of the minimizers ${u_{ε}}_{ε > 0}$ for the energy \begin{equation*} E_\varepsilon(u)=\int_Ω\Big(|\nabla…

math.AP2018

Best constants for two families of higher order critical Sobolev embeddings

Itai Shafrir, Daniel Spector

In this paper we obtain the best constants in some higher order Sobolev inequalities in the critical exponent. These inequalities can be separated into two types: those that embed…

math.FA2018★ 2 cited

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.FA2017

On the distance between homotopy classes in $W^{1/ p, p} (S^{1}; S^{1})$

Itai Shafrir

For every $p \in (1, \infty)$ there is a natural notion of topological degree for maps in $W^{1/ p, p} (S^{1}; S^{1})$ which allows us to write that space as a disjoint un…

math.FA2017★ 2 cited

The best constant in the embedding of $W^{N, 1} (R^{N})$ into $L^{\infty} (R^{N})$