TY - BOOK AU - Hencl,Stanislav AU - Koskela,Pekka ED - SpringerLink (Online service) TI - Lectures on Mappings of Finite Distortion T2 - Lecture Notes in Mathematics, SN - 9783319031736 AV - QA299.6-433 U1 - 515 23 PY - 2014/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Mathematics KW - Global analysis (Mathematics) KW - Functional analysis KW - Functions of complex variables KW - Differential equations, partial KW - Analysis KW - Functions of a Complex Variable KW - Functional Analysis KW - Partial Differential Equations N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-319-03173-6 ER -