%0 Journal Article %T Hylomorphic solitons and charged Q-balls: existence and stability %A Vieri Benci %A Donato Fortunato %J Physics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1212.3236v1