Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices

Resource Information

The work Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices

Title remainder

solitary waves, hylomorphic solitons and vortices

Statement of responsibility

Vieri Benci, Donato Fortunato

Creator

• Benci, V., (Vieri)

Contributor

• Fortunato, D., (Donato)

Author

• Benci, V., (Vieri)
• Fortunato, D., (Donato)

Subject

• Differential equations, Nonlinear
• Nonlinear wave equations
• Variational inequalities (Mathematics)

Language

eng

Summary

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

Member of

• Springer monographs in mathematics

Cataloging source

BTCTA

Dewey number

515/.355

Index

no index present

LC call number

QA372

LC item number

.B43 2014

Literary form

non fiction

Nature of contents

bibliography

Series statement

Springer monographs in mathematics,