Full Text: PDF
Let X be a Finsler manifold. We prove some abstract results on the existence of critical points for strongly indefinite functionals f in C^1(X,R) via a new deformation theorem. Different from the works in the literature, the new deformation theorem is constructed under a new version of Cerami-type condition instead of Palais-Smale condition. As applications, we prove the existence of multiple periodic solutions for a class of Hamiltonian systems.
How to Cite this Article:
Mohsen Timoumi, Critical point theorems concerning strongly indefinite functionals and applications to Hamiltonian systems, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 44.