In this paper, we use the method of moving planes to derive the Harnack‐type inequality
maxBRu·minB2Ru≤CRN−2α,
for nonnegative solutions to fractional semilinear elliptic equations
false(−normalΔfalse)αu=ffalse(ufalse),1em1emx∈B3Rfalse(0false),ufalse(xfalse)>0,1em1emx∈B3Rfalse(0false),ufalse(xfalse)=0,1em1emx∈double-struckRN∖B3Rfalse(0false),
with
0