Distributional solutions of the Beltrami equation

A. L. Baisón, A. Clop, J. Orobitg

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© 2018 Elsevier Inc. We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0.
Original languageEnglish
Pages (from-to)1081-1094
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - 15 Feb 2019


  • Beltrami operators
  • Beltrami's equation
  • Distributional solution
  • Quasiconformal mapping


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