Lectures on mappings of finite distortion

書誌事項

Lectures on mappings of finite distortion

Stanislav Hencl, Pekka Koskela

(Lecture notes in mathematics, 2096)

Springer, c2014

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注記

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

内容説明・目次

内容説明

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.

目次

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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