Let
$$B_R \subset R^N (N\geq 3)$$
be a ball centered at the origin with radius R. We investigate the asymptotic behavior of positive solutions for the Dirichlet problem
$$-\Delta u=\frac{\mu u}{|x|^2}+u^{2^*-1-\varepsilon}, u > 0 $$
in
$$B_R, u=0$$
on ∂BR when ɛ→+ for suitable positive numbers μ
