Ginzburg-Landau minimizers near the first critical field have bounded vorticity

Etienne Sandier, Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

We prove that for fields close enough to the first critical field, minimizers of the Ginzburg-Landau functional have a number of vortices bounded independently from the Ginzburg-Landau parameter. This generalizes a result proved in [SS1] and shows that locally minimizing solutions of the Ginzburg-Landau equation found in [Sl, S3] are actually global minimizers. It also gives a partial answer to a question raised by F. Bethuel and T. Rivière in [BR].

Original languageEnglish (US)
Pages (from-to)17-28
Number of pages12
JournalCalculus of Variations and Partial Differential Equations
Volume17
Issue number1
DOIs
Publication statusPublished - May 2003

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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