Nonradial solutions for the Hénon equation in RNRN

In this paper we consider the problem{−Δu=(N+α)(N−2)|x|αuN+2+2αN−2in RN,u>0in RN, where α>0α>0 and N⩾3N⩾3. From the characterization of the solutions of the linearized operator, we deduce the existence of nonradial solutions which bifurcate from the radial one when α is an even integer.