Lectures on Mappings of Finite Distortion

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 l...

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Bibliographic Details
Main Authors: Hencl, Stanislav, Koskela, Pekka (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Continuity
  • Openness and discreteness
  • Images and preimages of null sets
  • Homeomorphisms of finite distortion
  • Integrability of Jf and 1/Jf
  • Final comments
  • Appendix
  • References