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

Etienne Sandier; Itai Shafrir

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

Analysis of PDEs 2017-01-11 v2

Authors: Etienne Sandier , Itai Shafrir

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.

Keywords

Ginzburg-Landau energy local minimizer eta-ellipticity three-dimensional space variational methods partial differential equations

Cite

@article{arxiv.1612.00821,
  title  = {Small energy Ginzburg-Landau minimizers in ${\mathbb R}^3$},
  author = {Etienne Sandier and Itai Shafrir},
  journal= {arXiv preprint arXiv:1612.00821},
  year   = {2017}
}

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