Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential

Dumitru Motreanu, Viorica V. Motreanu, Nikolaos S. Papageorgiou

DOI: http://dx.doi.org/10.12775/TMNA.2004.028

Abstract


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.

Keywords


Nonsmooth potential; locally Lipschitz function; generalized subdifferential; nonsmooth PS-condition; orthogonal decomposition; linking sets; minimax principle

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