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In this paper, we study the combined effect of concave and convex nonlinearities on the number of nontrivial solutions for the p-biharmonic equation of the form   2 u = j uj q−2 u + f(x)j uj r−2 u in , u = r u = 0 on @,

On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function