We are concerned with the following p-biharmonic equations: \t\t\tΔp2u+M(∫RNΦ0(x,∇u)dx)div(φ(x,∇u))+V(x)|u|p−2u=λf(x,u)in RN,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ \\Delta _{p}^{2} u+M \\biggl( \\int _{\\mathbb{R}^{N}}\\varPhi _{0}(x,\\nabla u) \\,dx \\biggr) \\operatorname{div}\\bigl(\\varphi (x,\\nabla u)\\bigr)+V(x) \\vert u \\vert ^{p-2}u=\\lambda f(x,u) \\quad \\text{in } \\mathbb{R}^{N}, $$\\end{document} where 2< 2p<N, Delta _{p}^{2}u=Delta (|Delta u|^{p-2} Delta u), the function varphi (x,v) is of type lvert v rvert ^{p-2}v, varphi (x,v)=frac{d}{dv}varPhi _{0}(x,v), the potential function V:mathbb{R}^{N}to (0,infty ) is continuous, and f:mathbb{R} ^{N}times mathbb{R} to mathbb{R} satisfies the Carathéodory condition. We study the existence of weak solutions for the problem above via mountain pass and fountain theorems.