Homoclinics: Poincaré-Melnikov type results via a variational approach

Antonio Ambrosetti; Marino Badiale

doi:10.1016/s0294-1449(97)89300-6

JournalsaihpcVol. 15, No. 2pp. 233–252

Homoclinics: Poincaré-Melnikov type results via a variational approach

Antonio Ambrosetti
Scuola Normale Superiore, Pisa, 56100 Italy
- MathSciNet
- zbMATH Open
Marino Badiale
Scuola Normale Superiore, Pisa, 56100 Italy
- MathSciNet
- zbMATH Open

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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