Local minimizers with vortices to the Ginzburg‐Landau system in three dimensions

We construct local minimizers to the Ginzburg-Landau energy in certain three-dimensional domains based on the asymptotic connection between the energy and the total length of vortices using the theory of weak Jacobians. Whenever there exists a collection of locally minimal line segments spanning the domain, we can find local minimizers with arbitrarily assigned degrees with respect to each segment. © 2003 Wiley Periodicals, Inc.

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