Homoclinic and periodic orbits for hamiltonian systems

• Patricio L. Felmer ^[1] ; Elves De Silva ^[2]
  1. [1] Universidad de Chile

     Universidad de Chile

     Santiago, Chile

     
  2. [2] Universidade de Brasília

     Universidade de Brasília

     Brasil

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 26, Nº 2, 1998, págs. 285-301
• Idioma: inglés
• Enlaces
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• Resumen

  • 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.