Variational Methods in Nonlinear Field Equations

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.
Springer

An aparitie	2014
Autor	Vieri Benci, Donato Fortunato
Dimensiuni	15.6 x 1.6 x 23.4 cm
Editura	Springer
Format	Hardback
ISBN	9783319069135
Limba	Engleza
Nr pag	276