A nonradial bifurcation result with applications to supercritical problems

In this paper we consider the problem{−Δu=|x|αF(u) in Rnu>0 in Rn where α>0α>0 and n≥3n≥3. Under some assumptions on F we deduce the existence of nonradial solutions which bifurcate from the radial one when α is an even integer.