Classical solutions in the Born-Infeld theory

Research output: Contribution to journalArticle

Abstract

Locally concentrated solutions in the Born-Infeld theory are presented. In particular, existence and uniqueness theorems are established for multicentred magnetic string solutions induced from a Higgs field over a closed Riemann surface or a Euclidean plane. On any given compact surface, the Born-Infeld parameter may be adjusted under a necessary and sufficient condition to allow the existence of an arbitrarily large number of strings.

Original languageEnglish (US)
Pages (from-to)615-640
Number of pages26
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume456
Issue number1995
DOIs
StatePublished - Jan 1 2000

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Keywords

  • Constrained minimization
  • Electromagnetic fields
  • Hodge dual
  • Nonlinear elliptic equations
  • Riemann surfaces
  • Solitons

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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