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

Auteur: Hencl, Stanislav (1976-) - AuteurCo-auteur: Koskela, Pekka (1960-) - AuteurType de document: MonographieCollection: Lecture notes in mathematics ; 2096Langue: anglaisPays: SwisseÉditeur: Cham : Springer, cop. 2014Description: 1 vol. (XI-176 p.) : fig. ; 24 cm ISBN: 9783319031729 ; br. ISSN: 0075-8434Résumé: 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).Bibliographie: Bibliogr. p. 169-173. Index. Sujets MSC: 49-02 Calculus of variations and optimal control; optimization -- Research exposition (monographs, survey articles)
49Q15 Calculus of variations and optimal control; optimization -- Manifolds -- Geometric measure and integration theory, integral and normal currents
32C30 Several complex variables and analytic spaces -- Analytic spaces -- Integration on analytic sets and spaces, currents
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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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