Regularity Issues Involving the Fractional p-Laplacian

Abstract

We survey on existence and regularity for nonlinear integro-differential equations involving measure data, focusing on zero order potential estimates. The nonlocal elliptic operators considered are possibly degenerate or singular and cover the case of the fractional p-Laplacian operator with measurable coefficients.We report on the results in [37] providing different, more streamlined proofs.