Symmetry of local minimizers for the three dimensional Ginzburg-Landau functional
classification
🧮 math.AP
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ginzburg-landaufunctionallocalminimizersactionboundclassifydimensional
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We classify nonconstant entire local minimizers of the standard Ginzburg-Landau functional for maps in $H^{1}_{loc}(R^3;R^3)$ satisfying a natural energy bound. Up to translations and rotations, such solutions of the Ginzburg-Landau system are given by an explicit solution equivariant under the action of the orthogonal group.
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