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  • Let $\Omega$ be a convex planar domain and $f_\circ \in {\mathcal F}={\mathcal F}(\Omega , \Omega^\prime)$ where $\mathcal F$ is a class of $W^{1,1}$ homeomorphisms of finite distortion. We show that the minimization problem \begin{equation} \min_{f\in {\mathcal F}} \int_\Omega {\mathbb K}\, (x,f)\, dx , \; \; \; f=f_\circ \mbox{ on } \partial \Omega \end{equation} has a unique solution and that the extremal map is a ${\mathscr C}^\infty$-diffeomorphism whose inverse is harmonic in $\Omega^\prime$.
  • Let $\Omega$ be a convex planar domain and $f_\circ \in {\mathcal F}={\mathcal F}(\Omega , \Omega^\prime)$ where $\mathcal F$ is a class of $W^{1,1}$ homeomorphisms of finite distortion. We show that the minimization problem \begin{equation} \min_{f\in {\mathcal F}} \int_\Omega {\mathbb K}\, (x,f)\, dx , \; \; \; f=f_\circ \mbox{ on } \partial \Omega \end{equation} has a unique solution and that the extremal map is a ${\mathscr C}^\infty$-diffeomorphism whose inverse is harmonic in $\Omega^\prime$. (en)
Title
  • A note on extremal Mappings of finite distortion
  • A note on extremal Mappings of finite distortion (en)
skos:prefLabel
  • A note on extremal Mappings of finite distortion
  • A note on extremal Mappings of finite distortion (en)
skos:notation
  • RIV/00216208:11320/05:00206018!RIV10-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 2-3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 510990
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/05:00206018
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • extremal; Mappings; finite; distortion (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [C4C592BCBEBF]
http://linked.open...i/riv/nazevZdroje
  • Mathematical Research Letters
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 12
http://linked.open...iv/tvurceVysledku
  • Hencl, Stanislav
  • Koskela, Pekka
  • Onninen, Janni
http://linked.open...n/vavai/riv/zamer
issn
  • 1073-2780
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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