1.

Record Nr.

UNISA996205188303316

Autore

Hencl Stanislav

Titolo

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

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-03173-2

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (XI, 176 p. 4 illus.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2096

Classificazione

30C6546E3526B10

Disciplina

515.353

Soggetti

Mathematical analysis

Analysis (Mathematics)

Functions of complex variables

Functional analysis

Partial differential equations

Analysis

Functions of a Complex Variable

Functional Analysis

Partial Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.