Multiple boundary concentrating solutions to dirichlet problem of hénon equation

Let Ω be the unit ball centered at the origin in ℝN(N ≥ 4), 2* = 2N/N - 2,τ > 0, ε > 0. We study the following problem {- Δ u = |x|τu 2*- 1 - ε x ∈ Ω, u > 0 x ∈ Ω, u = 0 x ∈ ∂Ω. By a constructive argument, we prove that for any k = 1, 2, • • •, if ε is small enough, then the above problem has positive a solution u ε concentrating at k distinct points which tending to the boundary of Ω as ε goes to 0+.