A Hopf's lemma and a strong minimum principle for the fractional p-Laplacian

Our propose here is to provide a Hopf lemma and a strong minimum principle for weak supersolutions of (-Delta(p))(s) u = c(x)vertical bar u vertical bar(p-2)u in Omega where SI is an open set of R-N, s is an element of p (0, 1), p is an element of(1, +infinity), c is an element of C((Omega) over bar) and (-Delta(p))(s) is the fractional p-Laplacian. (C) 2017 Elsevier Inc. All rights reserved.