Asymptotic behavior of positive solution in an annulus

This paper concerns the positive solutions of superlinear elliptic equation with Hardy potential: { − Δ u + μ | x | 2 u = | u | p − 2 u in Ω , u > 0 in Ω , u = 0 on ∂ Ω , where Ω is an annulus of R N , N ⩾ 2 . We obtain qualitative properties of solutions as p → + ∞ .