Regularity for a fractional p-Laplace equation
  In this note we consider regularity theory for a fractional $p$-Laplace operator which arises in the complex interpolation of the Sobolev spaces, the $H^{s,p}$-Laplacian. We obtain the natural analogue to the classical $p$-Laplacian situation, namely $C^{s+\alpha}_{loc}$-regularity for the homogeneous equation. 
Armin Schikorra, Tien-Tsan Shieh, Daniel Spector
math.AP