Resumen de Homoclinic and periodic orbits for hamiltonian systems

Patricio Luis Felmer Aichele, Elves A.B. Silva

• This article deals with the existence of homo clinic and periodic solutions for second order Hamiltonian systems. The main purpose is to consider unbounded potentials which do not satisfy the Ambrosetti-Rabinowitz condition. The method is variational and it combines a perturbation argument with Morse index estimates for minimax critical points.