Lecture Notes in Mathematics

Lectures on Mappings of Finite Distortion

Authors: Hencl, Stanislav, Koskela, Pekka

  • 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
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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)


Table of contents (7 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-03173-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-03172-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Mappings of Finite Distortion
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2096
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-03173-6
DOI
10.1007/978-3-319-03173-6
Softcover ISBN
978-3-319-03172-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XI, 176
Number of Illustrations and Tables
4 b/w illustrations
Topics