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

Auteur principal : Hencl, Stanislav, 1976-, AuteurCo-auteur : Koskela, Pekka, 1960-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 2096Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, cop. 2014Description : 1 vol. (XI-176 p.) : fig. ; 24 cmISBN: 9783319031729.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 169-173. Index.Sujet MSC : 49-02, Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control
49Q15, Calculus of variations and optimal control; optimization - Manifolds and measure-geometric topics, Geometric measure and integration theory, integral and normal currents in optimization
32C30, Several complex variables and analytic spaces - Analytic spaces, Integration on analytic sets and spaces, currentsEn-ligne : Sommaire | Zentralblatt
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Bibliogr. p. 169-173. Index

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. (Source : Springer)

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