I. Shafrir

activity

20102017

collaborators

4 papers

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…

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…

math.AP2010

Radially symmetric minimizers for a $p$ -Ginzburg Landau type energy in $R^{2}$

Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1

We consider the minimization of a p-Ginzburg-Landau energy functional over the class of radially symmetric functions of degree one. We prove the existence of a unique minimizer in…

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

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

Radially symmetric minimizers for a p-Ginzburg Landau type energy in R2

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

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

Radially symmetric minimizers for a $p$ -Ginzburg Landau type energy in $R^{2}$