COMPACTNESS RESULTS FOR GINZBURG-LANDAU TYPE FUNCTIONALS WITH GENERAL POTENTIALS

Matthias Kurzke
2010 Electronic Journal of Differential Equations   unpublished
We study compactness and Γ-convergence for Ginzburg-Landau type functionals. We only assume that the potential is continuous and positive definite close to one circular well, but allow large zero sets inside the well. We show that the relaxation of the assumptions does not change the results to leading order unless the energy is very large.
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