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Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics) - Hardcover

Book 126 of 187: Springer Monographs in Mathematics

Benci, Vieri; Fortunato, Donato

 
9783319069135: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 3319069136 ISBN 13: 9783319069135
Publisher: Springer, 2014

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2014
Language
English
ISBN 10 
3319069136
ISBN 13 
9783319069135
Binding
Hardcover
Number of pages
272