Lectures on Mappings of Finite Distortion
Hencl, Stanislav.
Lectures on Mappings of Finite Distortion [electronic resource] / by Stanislav Hencl, Pekka Koskela. - XI, 176 p. 4 illus. online resource. - Lecture Notes in Mathematics, 2096 0075-8434 ; . - Lecture Notes in Mathematics, 2096 .
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.
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.
9783319031736
10.1007/978-3-319-03173-6 doi
Global analysis (Mathematics).
Functions of complex variables.
Functional analysis.
Differential equations, partial.
Analysis.
Functions of a Complex Variable.
Functional Analysis.
Partial Differential Equations.
QA299.6-433
515
Lectures on Mappings of Finite Distortion [electronic resource] / by Stanislav Hencl, Pekka Koskela. - XI, 176 p. 4 illus. online resource. - Lecture Notes in Mathematics, 2096 0075-8434 ; . - Lecture Notes in Mathematics, 2096 .
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.
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.
9783319031736
10.1007/978-3-319-03173-6 doi
Global analysis (Mathematics).
Functions of complex variables.
Functional analysis.
Differential equations, partial.
Analysis.
Functions of a Complex Variable.
Functional Analysis.
Partial Differential Equations.
QA299.6-433
515