Overview
- Self-contained introduction to an active, important and interesting field of research
- Includes an Appendix with several basic results on Real Analysis, theory of Sobolev functions and Geometric Measure Theory
- Suitable for any PhD student looking for an introduction to the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2096)
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Table of contents (7 chapters)
Keywords
About this book
In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.
Reviews
From the book reviews:
“This book provides a detailed and organized study of mappings of finite distortion. It would be useful to anyone interested in this topic. Numerous open problems are posed and relevant references are provided throughout.” (David Matthew Freeman, Mathematical Reviews, January, 2015)
Authors and Affiliations
Bibliographic Information
Book Title: Lectures on Mappings of Finite Distortion
Authors: Stanislav Hencl, Pekka Koskela
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-03173-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-03172-9Published: 04 February 2014
eBook ISBN: 978-3-319-03173-6Published: 24 January 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 176
Number of Illustrations: 4 b/w illustrations
Topics: Analysis, Functions of a Complex Variable, Functional Analysis, Partial Differential Equations