Let Ω be a bounded domain with a smooth C
2 boundary in ℝn (n ≥ 3), 0 ∈
$$\bar \Omega $$
, and υ denote the unit outward normal to ∂Ω. In this paper, we are concerned with the following class of boundary value problems:
*
$$\left\{ \begin{gathered} - \Delta u - \mu \tfrac{u}{{\left| x \right|^2 }} + \lambda u = \left| u \right|^{2^* - 2} u + \eta \left| u \right|^{p - 2} u, in \Omega , \hfill \\ \tfrac{{\partial u}}{{\partial v}} + \alpha (x)u = 0, on \partial \Omega , \hfill \\ \end{gathered} \right.$$
where 2* =...