Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Inserted: 25 mar 2015
Last Updated: 12 oct 2015
In this paper, we prove $L^p$ estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are $VMO$. In particular, our work extends the optimal regularity known in the second order elliptic setting to a spectrum of fractional order elliptic equations.