Odd Homoclinic Orbits for a Second Order Hamiltonian System

Odd Homoclinic Orbits for a Second Order Hamiltonian System

The aim of this paper is to find an odd homoclinic orbit for a class of reversible Hamiltonian systems. The proof is variational and it employs a version of the concentration compactness principle of P. L. Lions in a lemma due to Struwe.

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Veröffentlicht in:Advanced nonlinear studies 2012-02, Vol.12 (1), p.67-87
Hauptverfasser: Maia, Liliane A., Miyagaki, Olimpio H., Soares, Sergio H. M.
Format: Artikel
Sprache:eng
Schlagworte:
Hamiltonian system
homoclinic orbits
splitting lemma
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Zusammenfassung:The aim of this paper is to find an odd homoclinic orbit for a class of reversible Hamiltonian systems. The proof is variational and it employs a version of the concentration compactness principle of P. L. Lions in a lemma due to Struwe.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2012-0104