The problem we have dealt with until now was to understand the ε → 0 limits of the vorticity measures associated to minimizers of the Ginzburg- Landau functional. We now wish to derive a criticality condition for a limiting vorticity measure associated to a family (uε,Aε)ε of solutions of the Ginzburg-Landau system (GL) which are not necessarily minimizing.


Obstacle Problem Landau Equation Dirac Mass Natural Boundary Condition Sobolev Function 
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© Birkhäuser Boston 2007

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