2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142943This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from the interface of two superconductors. The critical applied magnetic field for vortex nucleation is estimated in the London singular limit, and as a by-product, results concerning vortex-pinning and boundary conditions on the interface are obtained.34 pagesAnalysis of PDEsMathematical Physics35J60 (Primary); 35J20, 35J25, 35B40, 35Q55, 82D55 (Secondary)text