Small energy Ginzburg–Landau minimizers in R3

Etienne Sandier; Itai Shafrir

doi:https://doi.org/10.1016/j.jfa.2017.01.010

Small energy Ginzburg–Landau minimizers in R³

Etienne Sandier, Itai Shafrir

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that a local minimizer of the Ginzburg–Landau energy in R³ satisfying the condition liminf_R→∞E(u;BR)Rln⁡R<2π must be constant. The main tool is a new sharp η-ellipticity result for minimizers in dimension three that might be of independent interest.

Original language	English
Pages (from-to)	3946-3964
Number of pages	19
Journal	Journal of Functional Analysis
Volume	272
Issue number	9
DOIs	https://doi.org/10.1016/j.jfa.2017.01.010
State	Published - 1 May 2017

Keywords

Ginzburg–Landau Energy
Local minimizers

All Science Journal Classification (ASJC) codes

Analysis

Access to Document

https://doi.org/10.1016/j.jfa.2017.01.010

Cite this

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abstract = "We prove that a local minimizer of the Ginzburg–Landau energy in R3 satisfying the condition liminfR→∞E(u;BR)Rln⁡R<2π must be constant. The main tool is a new sharp η-ellipticity result for minimizers in dimension three that might be of independent interest.",

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AU - Shafrir, Itai

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AB - We prove that a local minimizer of the Ginzburg–Landau energy in R3 satisfying the condition liminfR→∞E(u;BR)Rln⁡R<2π must be constant. The main tool is a new sharp η-ellipticity result for minimizers in dimension three that might be of independent interest.

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KW - Local minimizers

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