LEADER 03375nam 22007335 450 001 996205188303316 005 20200701080333.0 010 $a3-319-03173-2 024 7 $a10.1007/978-3-319-03173-6 035 $a(CKB)3710000000085766 035 $a(DE-He213)978-3-319-03173-6 035 $a(SSID)ssj0001187293 035 $a(PQKBManifestationID)11950721 035 $a(PQKBTitleCode)TC0001187293 035 $a(PQKBWorkID)11242831 035 $a(PQKB)10070958 035 $a(MiAaPQ)EBC3107103 035 $a(PPN)176107665 035 $a(EXLCZ)993710000000085766 100 $a20140124d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Mappings of Finite Distortion$b[electronic resource] /$fby Stanislav Hencl, Pekka Koskela 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XI, 176 p. 4 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2096 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-03172-4 327 $aIntroduction -- Continuity -- Openness and discreteness -- Images and preimages of null sets -- Homeomorphisms of finite distortion -- Integrability of Jf and 1/Jf -- Final comments -- Appendix -- References. 330 $aIn this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2096 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aFunctions of complex variables 606 $aFunctional analysis 606 $aPartial differential equations 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aFunctions of complex variables. 615 0$aFunctional analysis. 615 0$aPartial differential equations. 615 14$aAnalysis. 615 24$aFunctions of a Complex Variable. 615 24$aFunctional Analysis. 615 24$aPartial Differential Equations. 676 $a515.353 686 $a30C65$a46E35$a26B10$2msc 700 $aHencl$b Stanislav$4aut$4http://id.loc.gov/vocabulary/relators/aut$0523656 702 $aKoskela$b Pekka$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996205188303316 996 $aLectures on Mappings of Finite Distortion$92386283 997 $aUNISA