On the existence and multiplicity of solutions for a class of singular elliptic problems

In this paper, we prove the existence and multiplicity of solutions for a class of elliptic problems with singular coefficients. We also prove the existence of a sign-changing solution for a Brezis-Nirenberg type problem with Hardy potential and singular coefficients. Our proofs are based on the Krasnoselskii genus, the concentration compactness principle of Lions and the linking theorem.