Lectures on Mappings of Finite Distortion

• Κύριοι συγγραφείς: Hencl, Stanislav (Συγγραφέας), Koskela, Pekka (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Lecture Notes in Mathematics, 2096
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Functions of complex variables.; Partial differential equations.; Analysis.; Functions of a Complex Variable.; Functional Analysis.; Partial Differential Equations.

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...

Πίνακας περιεχομένων:

• 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.