Abstract
© 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 language | English |
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Pages (from-to) | 1081-1094 |
Number of pages | 14 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 470 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Feb 2019 |
Keywords
- Beltrami operators
- Beltrami's equation
- Distributional solution
- Quasiconformal mapping