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Variational Methods in Nonlinear Field Equations by Vieri Benci
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Variational Methods in Nonlinear Field Equations

Solitary Waves, Hylomorphic Solitons and Vortices
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Description

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.
Release date NZ
August 23rd, 2016
Audience
  • Professional & Vocational
Edition
Softcover reprint of the original 1st ed. 2014
Illustrations
XIX, 253 p.
Pages
253
Dimensions
155x235x15
ISBN-13
9783319361222
Product ID
25738121

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