On the elliptic problems involving multi-singular inverse square potentials and critical Sobolev exponent Original Research Article

Assume that View the MathML sourceΩ⊂RN(N≥3) is a smooth bounded domain, aiai are different points in ΩΩ, View the MathML sourcei=1,2,…,k,k≥2,λ>0,2≤q<2∗,μ<μ̄≔(N−22)2,2∗=2NN−2 is the critical Sobolev exponent. We study the existence and asymptotic behavior of solutions to the multi-singular critical elliptic problem