Nontrivial solutions for superquadratic nonautonomous periodic systems
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Superquadratic potential, AR-condition, spectral resolution, local linking, C-condition, periodic solutionAbstrakt
We consider a nonautonomous second order periodic system with an indefinite linear part. We assume that the potential function is superquadratic, but it may not satisfy the Ambrosetti-Rabinowitz condition. Using an existence result for $C^1$-functionals having a local linking at the origin, we show that the system has at least one nontrivial solution.Pobrania
Opublikowane
2009-12-01
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HU, Shouchuan & PAPAGEORGIOU, Nikolaos S. Nontrivial solutions for superquadratic nonautonomous periodic systems. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2009, T. 34, nr 2, s. 327–338. [udostępniono 22.7.2024].
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