1 Introduction and Main Results
We construct classic solutions of the following supercritical nonlinear fractional exterior problem {(??)su?up=0, u>0 in RN\(B1),u=0 in (B1), lim|x|→∞ u(x)=0, (1.1) where s∈(0, 1), p> (N+2s)/(N?2s) and B1 is the unit ball in RN.