- Yanbin Sang: Department of Mathematics, School of Science, North University of China, Taiyuan, Shanxi 030051 China.
- Siman Guo: Department of Mathematics, School of Science, North University of China, Taiyuan, Shanxi 030051 China.
In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term. The main tools adopted in our proofs are the concentration compactness principle and Nehari manifold.