1.

Record Nr.

UNISALENTO991002949829707536

Autore

Hencl, Stanislav

Titolo

Lectures on mappings of finite distortion / Stanislav Hencl, Pekka Koskela

Pubbl/distr/stampa

Cham [Switzerland] : Springer, c2014

ISBN

9783319031729

Descrizione fisica

xi, 176 p. : ill. ; 24 cm

Collana

Lecture notes in mathematics, 0075-8434 ; 2096

Classificazione

AMS 30C65

AMS 46E35

AMS 74B20

LC QA360.H46

Altri autori (Persone)

Koskela, Pekkaauthor

Disciplina

515.9

Soggetti

Quasiconformal mappings

Sobolev spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references (pages 169-173) and index

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