Liouville type theorem for stable solutions of p-Laplace equation in RN

In this paper we prove the Liouville type theorem for stable solution of the p-Laplace equation (0.1)−Δpu=f(x)|u|q−1u,x∈RN,where f(x) is a continuous and nonnegative function in RN∖{0} such that f(x)≥a0|x|a as |x|≥R0>0, where a>−p and a0>0. The results hold true for 1≤p−1