01911nam a2200349 i 4500991002949829707536160721s2014 sz a b 001 0 eng d9783319031729b14258924-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng515.923AMS 30C65AMS 46E35AMS 74B20LC QA360.H46Hencl, Stanislav523656Lectures on mappings of finite distortion /Stanislav Hencl, Pekka KoskelaCham [Switzerland] :Springer,c2014xi, 176 p. :ill. ;24 cmLecture notes in mathematics,0075-8434 ;2096Includes bibliographical references (pages 169-173) and indexIntroduction ; Continuity ; Openness and discreteness ; Images and preimages of null sets ; Homeomorphisms of finite distortion ; Integrability of Jf and 1/Jf ; Final comments ; Appendix ; ReferencesIn 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 aspectsQuasiconformal mappingsSobolev spacesKoskela, Pekkaauthorhttp://id.loc.gov/vocabulary/relators/aut54744.b1425892411-11-1621-07-16991002949829707536LE013 30C HEN11 (2014)12013000293448le013pE36.39-l- 01010.i1578699711-11-16Lectures on mappings of finite distortion829098UNISALENTOle01321-07-16ma -engsz 00