Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence

  • Dimitri MugnaiEmail author
  • Matteo Rinaldi


We study the existence of cylindrically symmetric electro-magneto-static solitary waves for a system of a nonlinear Klein–Gordon equation coupled with Maxwell’s equations in presence of a positive mass and of a nonnegative nonlinear potential. Nonexistence results are provided as well.

Mathematics Subject Classification (2000)

35J50 81T13 35Q40 


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© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Dipartimento di Matematica e InformaticaUniversità di PerugiaPerugiaItaly
  2. 2.Department of Mathematical SciencesCarnegie Mellon UniversityPittsburghUSA

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