Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices PDF
by Vieri Benci, Donato Fortunato
Part of the Springer Monographs in Mathematics series
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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 Schrodinger-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.
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Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:24/10/2014
- Category:
- ISBN:9783319069142
Information
-
Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:24/10/2014
- Category:
- ISBN:9783319069142
