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Finite energy standing waves for the Klein-Gordon-Maxwell system: the limit case

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Abstract

In this paper we consider the Klein—Gordon—Maxwell system in the electrostatic case, assuming the fall-off large-distance requirement on the gauge potential. We are interested in proving the existence of finite energy (and finite charge) standing waves, having the phase corresponding to the mass coefficient in the Klein—Gordon Lagrangian.

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Correspondence to Antonio Azzollini.

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The author is supported by GNAMPA project “Modelli di EDP nello studio di problemi della fisica moderna”.

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Azzollini, A. Finite energy standing waves for the Klein-Gordon-Maxwell system: the limit case. JAMA 148, 287–304 (2022). https://doi.org/10.1007/s11854-022-0228-1

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  • DOI: https://doi.org/10.1007/s11854-022-0228-1

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