Vortex sheet solutions for the Ginzburg-Landau system in cylinders: symmetry and global minimality

Radu Ignat, Mircea Rus

We consider the Ginzburg-Landau energy $E_{\epsilon }$ for ${\mathbb{R}}^M$-valued maps defined in a cylinder shape domain $B^N\times (0,1{)}^n$ satisfying a degree-one vortex boundary condition…