Calculus of Variations and Geometric Measure Theory
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A. Farina

On the classification of entire local minimizers of the Ginzburg-Landau equation

created by farina on 14 Feb 2013


Accepted Paper

Inserted: 14 feb 2013
Last Updated: 14 feb 2013

Journal: Contemporary Mathematics Series (AMS)
Year: 2013


We study entire solutions of the complex-valued Ginzburg-Landau equation in arbitrary dimension. In particular, in dimension 3 and 4, we prove that entire local minimizers, whose modulus goes to one at infinity, are necessarily constants and of unit modulus.


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