9 citations · 34 across the 11 of their papers we have counts for
12 papers
Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model
Dmitry Golovaty, Petru Mironescu, Peter Sternberg
We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg-Landau functional among the admissible competitors with Dirichlet boundary datum of…
Trace theory for Sobolev mappings into a manifold
Petru Mironescu, Jean Van Schaftingen
We review the current state of the art concerning the characterization of traces of the spaces of Sobolev mappings with value…
Lifting in compact covering spaces for fractional Sobolev mappings
Petru Mironescu, Jean Van Schaftingen
Let be a Riemannian covering, with , smooth compact connected Riemannian manifolds. If $\mathcal…
Radial extensions in fractional Sobolev spaces
Haim Brezis, Petru Mironescu, Itai Shafrir
Given , consider its radial extension , . In "On some questions of topology fo…
Lifting in Besov Spaces
Petru Mironescu, Emmanuel Russ, Yannick Sire
Let be a smooth bounded domain in and u be a measurable function on such that almost everywhere in . Assume that u belongs to the …
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 when . Here, is a Ginzburg-Landau type potential, va…
Distances between homotopy classes of
Haim Brezis, Petru Mironescu, Itai Shafrir
We introduce an equivalence relation on involving the topological degree, and we evaluate the distances (in the usual sense and in the Hausdo…
Distances between classes in
Haim Brezis, Petru Mironescu, Itai Shafrir
We introduce an equivalence relation on the space which classifies maps according to their "topological singularities". We establish sharp bounds for the…
Density in
Haïm Brezis, Petru Mironescu
Let be a smooth bounded domain in , $0\textless{}s\textless{}\infty$ and $1\le p\textless{}\infty$. We prove that is den…
Characterization of function spaces via low regularity mollifiers
Xavier Lamy, Petru Mironescu
Smoothness of a function can be measured in terms of the rate of convergence of to , where is an appropriate mollifier.…
Existence of critical points with semi-stiff boundary conditions for singular perturbation problems in simply connected planar domains
Xavier Lamy, Petru Mironescu
Let be a smooth bounded simply connected domain in . We investigate the existence of critical points of the energy $E_\varepsilon (u)=1/2\int_Ω|\nabla u|^2+1/(4\v…
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,…