Lectures on Mappings of Finite Distortion

• Main Authors: Hencl, Stanislav (Author), Koskela, Pekka (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2096
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Functions of complex variables.; Partial differential equations.; Analysis.; Functions of a Complex Variable.; Functional Analysis.; Partial Differential Equations.

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...

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.