LEADER 02279nam a2200337 i 4500 001 991000331679707536 008 090714s2009 njua b 001 0 eng d 020 $a9780691137773 020 $a0691137773 035 $ab13842213-39ule_inst 040 $aDip.to Matematica$beng 082 0 $a515.93$222 084 $aAMS 35J60 084 $aLC QA377.A836 100 1 $aAstala, Kari$0471671 245 10$aElliptic partial differential equations and quasiconformal mappings in the plane /$cKari Astala, Tadeusz Iwaniec, and Gaven Martin 260 $aPrinceton ; Oxford :$bPrinceton University Press,$cc2009 300 $axvi, 677 p. :$bill. ;$c24 cm 440 0$aPrinceton mathematical series,$x0079-5194 ;$v48 504 $aIncludes bibliographical references (p. 647-670) and index 505 2 $aIntroduction ; A background in conformal geometry ; The foundations of quasiconformal mappings ; Complex potentials ; The measurable Riemann mapping theorem : the existence theory of quasiconformal mappings ; Parameterizing general linear elliptic systems ; The concept of ellipticity ; Solving general nonlinear first-order elliptic systems ; Nonlinear Riemann mapping theorems ; Conformal deformations and Beltrami systems ; A quasilinear Cauchy problem ; Holomorphic motions ; Higher integrability ; L[p]-theory of Beltrami operators ; Schauder estimates for Beltrami operators ; Applications to partial differential equations ; PDEs not of divergence type : Pucci's conjecture ; Quasiconformal methods in impedance tomography : Calderón's problem ; Integral estimates for the Jacobian ; Solving the Beltrami equation : Degenerate elliptic case ; Aspects of the calculus of variations ; Appendix: Elements of Sobolev theory and function spaces 650 0$aDifferential equations, Elliptic 650 0$aQuasiconformal mappings 700 1 $aIwaniec, Tadeusz 700 1 $aMartin, Gaven 907 $a.b13842213$b02-04-14$c14-07-09 912 $a991000331679707536 945 $aLE013 35J AST11 (2009)$g1$i2013000292243$lle013$op$pE57.47$q-$rl$s- $t0$u0$v0$w0$x0$y.i1500322x$z17-09-09 996 $aElliptic partial differential equations and quasiconformal mappings in the plane$9229584 997 $aUNISALENTO 998 $ale013$b14-07-09$cm$da $e-$feng$gnju$h0$i0