Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential

Vladimir Georgiev*, Nicola Visciglia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We consider the coupled Klein-Gordon-Maxwell system. First we prove a non-existence result of solitary waves for this system, and then we show an existence result in the case that a small external Coulomb potential is introduced in the corresponding Lagrangian density.

Original languageEnglish
Pages (from-to)957-983
Number of pages27
JournalJournal des Mathematiques Pures et Appliquees
Issue number7
Publication statusPublished - 2005 Jul
Externally publishedYes


  • Maxwell-Klein-Gordon equations
  • Nonexistence and existence results
  • Solitary wawes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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