Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 28, pp. 1-9.

Title: Compactness results for Ginzburg-Landau type functionals with
       general potentials
       
Author: Matthias Kurzke (Univ. Bonn, Germany)

Abstract: 
 We study compactness and $\Gamma$-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.