Lectures on mappings of finite distortion

Bibliographic Information

Lectures on mappings of finite distortion

Stanislav Hencl, Pekka Koskela

(Lecture notes in mathematics, 2096)

Springer, c2014

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Note

Includes bibliographical references (p. 169-173) and index

Description and Table of Contents

Description

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.

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.

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