A Ginzburg-Landau problem on a circular cone
arXiv:2504.15935
Abstract
We carry out an asymptotic analysis for a Ginzburg-Landau type model for tangent vector fields defined on a cone. The results, in the spirit of Brezis, Bethuel and Helein, establish the degree and asymptotic location of vortices, one of which must be situated at the tip of the cone.
22 pages, 3 figures