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

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Abstract

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.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, 06123 , Perugia, Italy

    Dimitri Mugnai

  2. Department of Mathematical Sciences, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA , 15213, USA

    Matteo Rinaldi

Authors
  1. Dimitri Mugnai
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  2. Matteo Rinaldi
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Correspondence to Dimitri Mugnai.

Additional information

Communicated by A. Malchiodi.

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Mugnai, D., Rinaldi, M. Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence. Calc. Var. 53, 1–27 (2015). https://doi.org/10.1007/s00526-014-0739-4

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  • DOI: https://doi.org/10.1007/s00526-014-0739-4

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