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

• Main Authors: Benci, Vieri (Author), Fortunato, Donato (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Analysis.; Mathematical Physics.

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...

Table of Contents:

• 1 The general principles
• 2 Solitary waves and solitons: abstract theory
• 3 The nonlinear Schrödinger equation
• 4 The nonlinear Klein-Gordon equation
• 5 The Nonlinear Klein-Gordon-Maxwell equations
• 6 The nonlinear Schrödinger-Maxwell equations
• 7 The nonlinear beam equation
• 8 Vortices
• 9 Appendix.