Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential
Słowa kluczowe
Nonsmooth potential, locally Lipschitz function, generalized subdifferential, nonsmooth PS-condition, orthogonal decomposition, linking sets, minimax principleAbstrakt
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.Pobrania
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2004-12-01
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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 grudzień 2004, T. 24, nr 2, s. 269–296. [udostępniono 22.7.2024].
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