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

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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.
Edition: Reprint
Genre: Mathematics, Science
Series Title: Springer Monographs in Mathematics
Format: Paperback
Publisher: Springer Verlag
Author: Vieri Benci
Language: English
Street Date: September 9, 2016
TCIN: 51636477
UPC: 9783319361222
Item Number (DPCI): 248-26-9968
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