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arXiv · 1612.00821

Small energy Ginzburg-Landau minimizers in ${\mathbb R}^3$

Etienne Sandier·Itai Shafrir
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Abstract

We prove that a local minimizer of the Ginzburg-Landau energy in ${\mathbb R}^3$ satisfying the condition $\liminf_{R\to\infty}E(u;B_R)/RlnR < 2\pi$ must be constant. The main tool is a new sharp eta-ellipticity result for minimizers in dimension three that might be of independent interest.

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Etienne Sandier, Itai Shafrir. 2016-12-02. Small energy Ginzburg-Landau minimizers in ${\mathbb R}^3$. https://arxiv.org/abs/1612.00821

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