VORTICES OF AN ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

The global minimizers and the vortex structure of an anisotropic superconducting thin film are discussed. It is proved that for fields close enough to the lower critical magnetic field $H_{C_{1}}$, the global minimizer of the Ginzburg-Landau functional has a bounded number of vortices independently from the Ginzburg-Landau parameter. The location of the vortices is also given.