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

Etienne Sandier; Itai Shafrir

arxiv: 1612.00821 · v2 · pith:S7TQOBATnew · submitted 2016-12-02 · 🧮 math.AP

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

Etienne Sandier , Itai Shafrir This is my paper

classification 🧮 math.AP

keywords energyginzburg-landaumathbbminimizersconditionconstantdimensioneta-ellipticity

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

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