Supercritical elliptic problems on a perturbation of the ball

We examine the Hénon equation −Δu=|x|αup−Δu=|x|αup in Ω⊂RNΩ⊂RN with u=0u=0 on ∂Ω   where 0<α0<α. We show there exists a sequence {pk}k⊂[N+2N−2,pα(N)] with p1