Solutions to critical elliptic equations with multi-singular inverse square potentials

Let Ω be an open-bounded domain in with smooth boundary ∂Ω. We are concerned with the multi-singular critical elliptic problem where and Q(x) is a positive bounded function on . Using Moser iteration, we prove the asymptotic behavior of solutions for (*) at points . By exploiting the effect of the coefficient of the critical nonlinearity, we, by means of a variational method, establish the existence of positive and sign-changing solutions for problem (*).