On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev–Hardy exponents

Let Ω⊂RN(N≥3)Ω⊂RN(N≥3) be a smooth bounded domain such that the different points ai∈Ωai∈Ω, i=1,2,…,k,k≥2,0≤μi<μ̄=(N−22)2,0