2014 Volume 68 Issue 2 Pages 249-260
This article is devoted to dealing with existence of a solution to a quasilinear elliptic problem with the Hardy potential term up−1 / |x|p and critical growth in the gradient |∇u|p as an absorption term. By considering the interaction between the two terms in the equation, we prove that there exists a positive solution to the problem. Moreover, the existence result for a wider class of weight functions can also be obtained.