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.
|Journal||Annales Academiae Scientiarum Fennicae Mathematica|
|Publication status||Published - 16 May 2013|
- Beltrami equation
- Muckenhoupt weight.
- quasiconformal mapping