Small energy Ginzburg-Landau minimizers in ${\mathbb{R}}^3$

Etienne Sandier, Itai Shafrir

We prove that a local minimizer of the Ginzburg-Landau energy in ${\mathbb{R}}^3$ satisfying the condition ${\mathrm{liminf}}_{R\to \infty }E(u;B_R)/RlnR<2\pi$ must be constant. The main tool i…