the asymptotic behavior of the ground state solutions for biharmonic equations

in this paper we study the asymptotic behavior of the ground state solutions of the hénon type biharmonic equation δ²u = |x|^αu^p−1 in ω, u > 0 in ω and u = ∂u/∂n = 0 on ∂ω, where ω is the unit ball in rⁿ , α > 0, p > 2. we prove that the ground state solution u_p concentrates on a boundary point and has a unique maximum point as p → 2^∗ = 2n/n−4 , which deduce that the ground state solution u_p is not radially symmetric.