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＜E-Book＞
Lectures on Mappings of Finite Distortion / by Stanislav Hencl, Pekka Koskela
(Lecture Notes in Mathematics. ISSN:16179692 ; 2096)

Edition	1st ed. 2014.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2014
Size	XI, 176 p. 4 illus : online resource
Authors	*Hencl, Stanislav author Koskela, Pekka author SpringerLink (Online service)
Subjects	LCSH:Mathematical analysis LCSH:Functions of complex variables LCSH:Functional analysis LCSH:Differential equations FREE:Analysis FREE:Functions of a Complex Variable FREE:Functional Analysis FREE:Differential Equations
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-03173-6

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