P. Mironescu

activity

20122018

most citedOn compound vortices in a two-component Ginzburg-Landau functional

9 citations · 9 across the 2 of their papers we have counts for

collaborators

5 papers

math.FA2018

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.CA2017

Lifting in Besov Spaces

Petru Mironescu, Emmanuel Russ, Yannick Sire

Let $Ω$ be a smooth bounded domain in $R^{n}$ and u be a measurable function on $Ω$ such that $∣ u (x) ∣ = 1$ almost everywhere in $Ω$ . Assume that u belongs to the $B_{p, q}^{s} (Ω)$ …

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.AP2012★ 9 cited

On compound vortices in a two-component Ginzburg-Landau functional

Stan Alama, Lia Bronsard, Petru Mironescu

We study the structure of vortex solutions in a Ginzburg-Landau system for two complex valued order parameters. We consider the Dirichlet problem in the disk in R^2 with symmetric,…