Boundary regularity estimates for the nonlocal normalized [formula omitted]-Laplacian in different kind of domains.

In this paper, we establish the boundary estimates in domains with flat boundary, C 1 , α boundary and C 1 boundary respectively for nonlocal problem of the form Δ p s u = f in Ω and u = 0 in Ω c. Here, Δ p s is the nonlocal normalized p -Laplacian of order 2 s with s ∈ (0 , 1). [ABSTRACT FROM AUTHOR]