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Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential

Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential

We study a semilinear nonautonomous second order periodic system with a nonsmooth potential function which exhibits a quadratic or superquadratic growth. We establish the existence of a solution, using minimax methods of the nonsmooth critical point theory.