This paper deals with the Neumann problem for an elliptic equation {-△u-μu/｜x｜^2=｜u｜^2＊（s）-2u/｜x｜^s＋λ｜u｜^q-2u,x∈Ω, Dγu＋a（x）u=0, x∈偏dΩ／{0}, where Ω is a bounded domain in R^N with C^1 boundary, 0 ∈ 偏dΩ, N 〉 5. 2^＊（s） = 2（N-s）/N-2 （0 ≤ s ≤ 2） is the critical Sobolev-Hardy exponent, 1 〈 q 〈 2, 0 〈 μ 〈 μ^＊, γ denotes the unit outward normal to boundary 偏dΩ. By variational method and the dual fountain theorem, the existence of infinitely many solutions with nega...
