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This article deals with the problem-△pu = λ|u|p-2u/|x|p lnp R/|x|+f(x,u), x∈Ω; u=0, x∈(e)Ω,where n = p. The authors prove that a Hardy inequality and the constant (p/p-1)p is optimal.They also prove the existence of a nontrivial solution of the above mentioned problem by using the Mountain Pass Lemma.