Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential
Keywords
Nonsmooth potential, locally Lipschitz function, generalized subdifferential, nonsmooth PS-condition, orthogonal decomposition, linking sets, minimax principleAbstract
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.Downloads
Published
2004-12-01
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1.
MOTREANU, Dumitru, MOTREANU, Viorica V. and PAPAGEORGIOU, Nikolaos S. Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential. Topological Methods in Nonlinear Analysis. Online. 1 December 2004. Vol. 24, no. 2, pp. 269 - 296. [Accessed 20 April 2024].
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