On approximation of Ginzburg-Landau minimizers by ${\mathbb{S}}^1$-valued maps in domains with vanishingly small holes

Leonid Berlyand, Dmitry Golovaty, Oleksandr Iaroshenko +1

We consider a two-dimensional Ginzburg-Landau problem on an arbitrary domain with a finite number of vanishingly small circular holes. A special choice of scaling relation between…