Nontrivial solutions for superquadratic nonautonomous periodic systems
Keywords
Superquadratic potential, AR-condition, spectral resolution, local linking, C-condition, periodic solutionAbstract
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.Downloads
Published
2009-12-01
How to Cite
1.
HU, Shouchuan and PAPAGEORGIOU, Nikolaos S. Nontrivial solutions for superquadratic nonautonomous periodic systems. Topological Methods in Nonlinear Analysis. Online. 1 December 2009. Vol. 34, no. 2, pp. 327 - 338. [Accessed 28 March 2024].
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