LEADER 01911nam a2200349 i 4500 001 991002949829707536 008 160721s2014 sz a b 001 0 eng d 020 $a9783319031729 035 $ab14258924-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.9$223 084 $aAMS 30C65 084 $aAMS 46E35 084 $aAMS 74B20 084 $aLC QA360.H46 100 1 $aHencl, Stanislav$0523656 245 10$aLectures on mappings of finite distortion /$cStanislav Hencl, Pekka Koskela 260 $aCham [Switzerland] :$bSpringer,$cc2014 300 $axi, 176 p. :$bill. ;$c24 cm 440 0$aLecture notes in mathematics,$x0075-8434 ;$v2096 504 $aIncludes bibliographical references (pages 169-173) and index 505 0 $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 520 $aIn this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects 650 0$aQuasiconformal mappings 650 0$aSobolev spaces 700 1 $aKoskela, Pekka$eauthor$4http://id.loc.gov/vocabulary/relators/aut$054744 907 $a.b14258924$b11-11-16$c21-07-16 912 $a991002949829707536 945 $aLE013 30C HEN11 (2014)$g1$i2013000293448$lle013$op$pE36.39$q-$rl$s- $t0$u1$v0$w1$x0$y.i15786997$z11-11-16 996 $aLectures on mappings of finite distortion$9829098 997 $aUNISALENTO 998 $ale013$b21-07-16$cm$da $e-$feng$gsz $h0$i0