Abstract
We obtain a priori estimates in Lp(ω) for the generalized Beltrami equation, provided that the coefficients are compactly supported VMO functions with the expected ellipticity condition, and the weight ω lies in the Muckenhoupt class Ap. As an application, we obtain improved regularity for the jacobian of certain quasiconformal mappings.
Original language | English |
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Pages (from-to) | 91-113 |
Journal | Annales Academiae Scientiarum Fennicae Mathematica |
Volume | 38 |
DOIs | |
Publication status | Published - 16 May 2013 |
Keywords
- Beltrami equation
- Muckenhoupt weight.
- quasiconformal mapping