A Study of Radial Symmetry of Solutions to a Class of Fractional Laplace Equations
A class of fractional order Laplace equations with the following form was studied by the di-rect moving plane method:(-Δ)α/2 u(x)= |x|βup(x)+|x|γuq(x),x∈Rn,0<α<2,n≥3.The radial symmetry of the positive solution of the equation in the whole space and under different con-straints is obtained.