Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence
classification
🧮 math.AP
keywords
existencenonlinearpositiveabeliancoupledcylindricallyelectro-magneto-staticequation
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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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