In this paper, we are concerned with elliptic equations with Hardy potential and critical Sobolev exponents where 2∗ = 2𝑁/(𝑁 − 2) is the critical Sobolev exponent, 𝑁 ≥ 3, 0 ≤ 𝜇 < 𝜇̄ = (𝑁 − 2)²/4 ...