Authors:
- Provides existence and stability results for solitary waves, solitons and vortices in variational nonlinear PDE’s
- Theory sufficiently general and flexible to be applied to many other situations
- Applications to the existence of solitons in the nonlinear beam equation and to the study of vortices
- Contains a general existence theory for hylomorphic solitons
- Summarizes the main results obtained in the last 35 years
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“This book is a useful, enlightening, and thought-provoking exposition of the research and findings over the last 35 years of using and implementing variational techniques to better understand the dynamics of nonlinear field equations. These reviewers would highly recommend this text be on the shelf of any applied mathematician/physicist who uses variational techniques to analyze nonlinear field equations.” (David J. Kaup and Thomas Keith Vogel, Mathematical Reviews, November, 2015)
Authors and Affiliations
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Dip. di Matematica, Università degli Studi di Pisa, Pisa, Italy
Vieri Benci
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Dip. di Matematica, Università degli Studi di Bari "Aldo Moro", Bari, Italy
Donato Fortunato
Bibliographic Information
Book Title: Variational Methods in Nonlinear Field Equations
Book Subtitle: Solitary Waves, Hylomorphic Solitons and Vortices
Authors: Vieri Benci, Donato Fortunato
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-06914-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-06913-5Published: 03 November 2014
Softcover ISBN: 978-3-319-36122-2Published: 23 August 2016
eBook ISBN: 978-3-319-06914-2Published: 24 October 2014
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XIX, 253
Topics: Partial Differential Equations, Analysis, Mathematical Physics