Hylomorphic solitons and charged Q-balls: existence and stability

Abstract

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.

37 pages. arXiv admin note: substantial text overlap with arXiv:1011.5044, arXiv:1111.1888