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Lectures on mappings of finite distortion

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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

Abstract:
In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion.  Read more...

Author(s): Hencl, Stanislav; Koskela, Pekka
Series: Springer Lecture notes in mathematics 2096
Publisher: Springer
Year: 2014

Language: English
Pages: 176
City: Cham
Tags: Mathematics.;Global analysis (Mathematics);Functional analysis.;Functions of complex variables.;Differential equations, Partial.;Differential equations, Partial;Functional analysis;Functions of complex variables;Mathematics

Content: 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