Infinitely many Solutions for a Class of P-Biharmonic Problems with Neumann Boundary Conditions

Abstract. The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic oper-ator with nonhomogeneous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result