Friday, December 14, 2012

1212.3236 (Vieri Benci et al.)

Hylomorphic solitons and charged Q-balls: existence and stability    [PDF]

Vieri Benci, Donato Fortunato
In this paper we give an abstract definition of solitary wave and soliton and we develop an abstract existence theory. This theory provides a powerful tool to study the existence of solitons for the Klein-Gordon equations as well as for gauge theories. Applying this theory, we prove the existence of a continuous family of stable charged Q-balls.
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