Homoclinics: Poincaré-Melnikov type results via a variational approach

  • Antonio Ambrosetti

    Scuola Normale Superiore, Pisa, 56100 Italy
  • Marino Badiale

    Scuola Normale Superiore, Pisa, 56100 Italy

Abstract

We introduce a variational approach to obtain some Poincaré-Melnikov type results on the existence and multiplicity of homoclinics.

Cite this article

Antonio Ambrosetti, Marino Badiale, Homoclinics: Poincaré-Melnikov type results via a variational approach. Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998), no. 2, pp. 233–252

DOI 10.1016/S0294-1449(97)89300-6