Springer Monographs in Mathematics: Solitary Waves, Hylomorphic Solitons and Vortices

Benci, Vieri; Fortunato, Donato

The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.

Details

Published by: Springer

Publication Date: 2016-08-23

Format: Paperback

ISBN-13: 9783319361222

DOI: 10.1007/978-3-319-06914-2

Dimensions: 235cm x155cm

Pages: 253