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Lectures on Mappings of Finite Distortion [electronic resource] /

by Hencl, Stanislav [author.]; Koskela, Pekka [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 2096Publisher: Cham : Springer International Publishing : 2014.Description: XI, 176 p. 4 illus. online resource.ISBN: 9783319031736.Subject(s): Mathematics | Global analysis (Mathematics) | Functional analysis | Functions of complex variables | Differential equations, partial | Mathematics | Analysis | Functions of a Complex Variable | Functional Analysis | Partial Differential EquationsDDC classification: 515 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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