In this paper we study a nonlinear periodic problem driven by the ordinary scalar p-Laplacian and with a Carathéodory nonlinearity. We establish the existence of at least two nontrivial solutions. Our approach is variational based on the smooth critical point theory and using the "Second Deformation Theorem".
Using Mountain Pass lemma, under some appropriate assumptions, we establish the existence of one nontrivial solution for a class ofp-Kirchhoff-type elliptic equations in .
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