Lectures on Mappings of Finite Distortion

  • Stanislav Hencl
  • Pekka Koskela
Part of the Lecture Notes in Mathematics book series (LNM, volume 2096)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Stanislav Hencl, Pekka Koskela
    Pages 1-15
  3. Stanislav Hencl, Pekka Koskela
    Pages 17-39
  4. Stanislav Hencl, Pekka Koskela
    Pages 41-61
  5. Stanislav Hencl, Pekka Koskela
    Pages 63-79
  6. Stanislav Hencl, Pekka Koskela
    Pages 81-105
  7. Stanislav Hencl, Pekka Koskela
    Pages 107-121
  8. Stanislav Hencl, Pekka Koskela
    Pages 123-138
  9. Back Matter
    Pages 139-178

About this book

Introduction

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.

Keywords

30C65, 46E35, 26B10 Mapping of finite distortion Quasiconformal mapping Sobolev space

Authors and affiliations

  • Stanislav Hencl
    • 1
  • Pekka Koskela
    • 2
  1. 1.Department of Mathematical AnalysisCharles UniversityPrague 8Czech Republic
  2. 2.Department of Mathematics and StatisticsUniversity of JyväskyläJyväskyläFinland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03173-6
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-03172-9
  • Online ISBN 978-3-319-03173-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book