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This 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.
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