Hs,p regularity theory for a class of nonlocal elliptic equations

Nowak SN. Hs,p regularity theory for a class of nonlocal elliptic equations. Nonlinear Analysis - Theory, Methods and Applications. 2020;195: 111730.In this paper, we study the regularity of weak solutions to a class of nonlocal elliptic equations in Bessel potential spaces H-s,H-p. Our main results can be seen as an extension of the well-known W-1,W-p regularity theory for local second-order elliptic equations in divergence form to the nonlocal setting. (C) 2019 Elsevier Ltd. All rights reserved