We study compactness and -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.
Submitted September 22, 2009. Published February 18, 2010.
Math Subject Classifications: 35J50, 35B25.
Key Words: Gamma-convergence; compactness for Jacobians; Ginzburg-Landau functional.
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| Matthias Kurzke |
Institut f\"ur Angewandte Mathematik, Universit\"at Bonn
Endenicher Allee 60, 53115 Bonn, Germany
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