| Autor: |
Dong-Lun Wu |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 31, Pp 1-27 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1417-3875 |
| DOI: |
10.14232/ejqtde.2023.1.31 |
| Popis: |
In this paper, we obtain the multiplicity of homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign potentials. The concentration-compactness principle is applied to show the compactness. As a byproduct, we obtain the uniqueness of the positive ground state solution for a class of autonomous Hamiltonian systems and the best constant for Sobolev inequality which are of independent interests. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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