Orateur
Radu Ignat
Description
We consider the standard Ginzburg-Landau system for N-dimensional maps defined in the unit ball for some parameter $\epsilon>0$. For a boundary data corresponding to a vortex of topological degree one, the aim is to prove the (radial) symmetry of the ground state of the system. We show this conjecture in any dimension N≥7 and for every $\epsilon>0$, and then, we also prove it in dimension N=4,5,6 provided that the admissible maps are curl-free.