9 citations · 34 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
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…
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,…