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 BrezisNirenberg 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.
singular elliptic problem sign-changing solution hardy potential infinitely many solutions