Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential
KeywordsNonsmooth potential, locally Lipschitz function, generalized subdifferential, nonsmooth PS-condition, orthogonal decomposition, linking sets, minimax principle
AbstractWe 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.
How to Cite
MOTREANU, Dumitru, MOTREANU, Viorica V. & PAPAGEORGIOU, Nikolaos S. Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential. Topological Methods in Nonlinear Analysis [online]. 1 December 2004, T. 24, nr 2, s. 269–296. [accessed 8.12.2021].
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