ENGLISH

Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices

By Vieri Benci , Donato Fortunato (auth.)

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-06913-5, 978-3-319-06914-2
DOI
10.1007/978-3-319-06914-2
Language
english
Format
PDF
Filesize
2 MB (2431217 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
253\266
Time added
2014-11-10 20:00:00
Partial Differential Equations; Analysis; Mathemat

Description

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.

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