A strong maximum principle for the fractional [formula omitted]-Laplacian operator

Abstract

In this note, we prove a strong maximum principle for weak supersolutions of (−Δ)psu+(−Δ)qsu+c(x)(|u|p−2u+|u|q−2u)=0 in Ω, where Ω⊂RN is an open set, s∈(0,1), 1<p<q<∞, c∈C(Ω¯), and (−Δ)ts, with t∈{p,q}, is the fractional t-Laplacian operator.