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Lectures on Mappings of Finite Distortion / by Stanislav Hencl, Pekka Koskela.

Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2383 2385,2388-2389
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Format:
Book
Author/Creator:
Hencl, Stanislav, Author.
Koskela, Pekka, Author.
Series:
Lecture Notes in Mathematics, 0075-8434 ; 2096
Language:
English
Subjects (All):
Mathematical analysis.
Analysis (Mathematics).
Functions of complex variables.
Functional analysis.
Differential equations, Partial.
Analysis.
Functions of a Complex Variable.
Functional Analysis.
Partial Differential Equations.
Local Subjects:
Analysis.
Functions of a Complex Variable.
Functional Analysis.
Partial Differential Equations.
Physical Description:
1 online resource (XI, 176 p. 4 illus.)
Edition:
1st ed. 2014.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2014.
Language Note:
English
Summary:
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.
Contents:
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.
Notes:
Bibliographic Level Mode of Issuance: Monograph
ISBN:
3-319-03173-2

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