Multiplicity of positive solutions for the generalized Hénon equation with fractional Laplacian

We consider the equation $(-\Delta)^s u=|x|^{\alpha}|u|^{q-2}u$ in the unit ball. We show that there exist arbitratily many nonequivalent positive solutions for $2<q<\dfrac{2n}{n-2s}$ and sufficiently large $\alpha$. Also the existence of a radial solution for some supercritical values of the $q$ and sufficiently large $\alpha$ is proved.