03375nam 22007335 450 99620518830331620200701080333.03-319-03173-210.1007/978-3-319-03173-6(CKB)3710000000085766(DE-He213)978-3-319-03173-6(SSID)ssj0001187293(PQKBManifestationID)11950721(PQKBTitleCode)TC0001187293(PQKBWorkID)11242831(PQKB)10070958(MiAaPQ)EBC3107103(PPN)176107665(EXLCZ)99371000000008576620140124d2014 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierLectures on Mappings of Finite Distortion[electronic resource] /by Stanislav Hencl, Pekka Koskela1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (XI, 176 p. 4 illus.) Lecture Notes in Mathematics,0075-8434 ;2096Bibliographic Level Mode of Issuance: Monograph3-319-03172-4 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.Lecture Notes in Mathematics,0075-8434 ;2096Mathematical analysisAnalysis (Mathematics)Functions of complex variablesFunctional analysisPartial differential equationsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical analysis.Analysis (Mathematics).Functions of complex variables.Functional analysis.Partial differential equations.Analysis.Functions of a Complex Variable.Functional Analysis.Partial Differential Equations.515.35330C6546E3526B10mscHencl Stanislavauthttp://id.loc.gov/vocabulary/relators/aut523656Koskela Pekkaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996205188303316Lectures on Mappings of Finite Distortion2386283UNISA