Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part II

As in Part I, we study local minimizers of the Ginzburg-Landau energy (depe nding on k --> +infinity) for superconductors in a prescribed magnetic fiel d h(ex). For disc domains, we find and describe stable solutions of the ass ociated equations and show how vortices appear as h(ex) is raised from the first critical field H-c1. We also study the asymptotic limit k --> infinity for h(ex) = H-c1 and prov e that the limiting magnetic field in the superconductor satisfies the Lond on equation.