Nontrivial solutions for superquadratic nonautonomous periodic systems
KeywordsSuperquadratic potential, AR-condition, spectral resolution, local linking, C-condition, periodic solution
AbstractWe 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.
How to Cite
HU, Shouchuan & PAPAGEORGIOU, Nikolaos S. Nontrivial solutions for superquadratic nonautonomous periodic systems. Topological Methods in Nonlinear Analysis [online]. 1 December 2009, T. 34, nr 2, s. 327–338. [accessed 8.2.2023].
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