I. Shafrir

activity

20102018

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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.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.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…

Best constants for two families of higher order critical Sobolev embeddings

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

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

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