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Existence of positive and sign-changing solutions for p-laplace equations with potentials in R^NKeywords: Potential , critical point theory , p-Laplace , sign changing solution , multiplicity of solutions , concentration-compactness Abstract: We study the perturbed equation $$displaylines{ -varepsilon^{p}hbox{div}(| abla u|^{p-2} abla u)+V(x)|u|^{p-2}u=h(x,u)+K(x)|u|^{p^*-2}u,quad xin mathbb{R}^Ncr u(x) o 0quad ext{as } |x| oinfty,. }$$ where $2leq p
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