Lectures on mappings of finite distortion
Author(s)
Bibliographic Information
Lectures on mappings of finite distortion
(Lecture notes in mathematics, 2096)
Springer, c2014
Available at / 43 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2096200026150054
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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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