Lectures on Mappings of Finite Distortion [electronic resource] / by Stanislav Hencl, Pekka Koskela.

By:

Hencl, Stanislav [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 2096Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XI, 176 p. 4 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319031736

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515 23

LOC classification:

QA299.6-433

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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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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