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Lectures on Mappings of Finite Distortion

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 l...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hencl, Stanislav (Autor), Koskela, Pekka (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Mathematics, 2096
Temas:
Acceso en línea:Texto Completo

MARC

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505 0 |a 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. 
520 |a 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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650 0 |a Functions of complex variables. 
650 0 |a Functional analysis. 
650 0 |a Differential equations. 
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