English

Hylomorphic solitons and charged Q-balls: existence and stability

Mathematical Physics 2012-12-14 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1212.3236,
  title  = {Hylomorphic solitons and charged Q-balls: existence and stability},
  author = {Vieri Benci and Donato Fortunato},
  journal= {arXiv preprint arXiv:1212.3236},
  year   = {2012}
}

Comments

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