I. Shafrir

activity

20102025

collaborators

Showing 2017Show all

2 papers · 1 filter

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.AP2017

Asymptotic behavior of critical points of an energy involving a loop-well potential

Petru Mironescu, Itai Shafrir

We describe the asymptotic behavior of critical points of $\int_{Ω} [(1/2) ∣\nabla u ∣^{2} + W (u) / ε^{2}]$ when $ε \to 0$ . Here, $W$ is a Ginzburg-Landau type potential, va…

On the distance between homotopy classes in W1/p,p(S1;S1)

Asymptotic behavior of critical points of an energy involving a loop-well potential

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