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

Benci, Vieri

ISBN 10: 3319069136 / ISBN 13: 9783319069135

Published by Springer, 2014

About this Item

Most items will be dispatched the same or the next working day. A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged.

Seller Inventory # wbs3891883879

Bibliographic Details

• Title: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)
• Publisher: Springer
• Publication Date: 2014
• Language: English
• ISBN 10: 3319069136
• ISBN 13: 9783319069135
• Binding: Hardcover
• Condition: Very Good
• Weight: 589.7 grams

About this title

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.