Inserted: 29 oct 2016
Last Updated: 29 oct 2016
Journal: Electron. J. Differential Equations
We study a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order $s \in (0,1)$ and summability growth $p>1$ whose model is the fractional $p$-Laplacian with measurable coeffcients. We prove that the minimum of the corresponding weak supersolutions is a weak supersolution as well.
Keywords: fractional Laplacian, fractional Sobolev spaces, quasilinear nonlocal operators, nonlocal tail, Fractional Superharmonic functions