ON CRITICAL SINGULAR QUASILINEAR ELLIPTIC PROBLEM WHEN n = p *

This article deals with the problem -Δpu=λ|u|p-2u|x|pInpR/|x|+f(x,u),xɛΩ;u=0,xɛ∂Ωwhere n = p  . The authors prove that a Hardy inequality and the constant (pp-1)pis optimal. They also prove the existence of a nontrivial solution of the above mentioned problem by using the Mountain Pass Lemma.