Solutions of Ginzburg-Landau equations and critical points of the renormalized energy

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Abstract

Here we establish some connection between solutions of Ginzburg-Landau equations and critical points of the renormalized energy Wg introduced in the recent works of Bethuel-Brezis and Helein. In particular, local nondegenerate minimums of Wg have their associated solutions of GL-equations.

Original languageEnglish (US)
Pages (from-to)599-622
Number of pages24
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume12
Issue number5
DOIs
StatePublished - Sep 1 2016

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Ginzburg-Landau Equation
Critical point
Energy

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

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title = "Solutions of Ginzburg-Landau equations and critical points of the renormalized energy",
abstract = "Here we establish some connection between solutions of Ginzburg-Landau equations and critical points of the renormalized energy Wg introduced in the recent works of Bethuel-Brezis and Helein. In particular, local nondegenerate minimums of Wg have their associated solutions of GL-equations.",
author = "Fang-Hua Lin",
year = "2016",
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