Calculus of Variations and Geometric Measure Theory
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A. Schikorra - T. T. Shieh - D. Spector

$L^p$-theory for fractional gradient PDE with VMO coefficients

created by spector on 25 Mar 2015
modified on 12 Oct 2015


Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.

Inserted: 25 mar 2015
Last Updated: 12 oct 2015

Pages: 10
Year: 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.


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