Wu Dong-Lun: Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities. (2023)
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Abstract
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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 31 |
| ISSN: | 1417-3875 |
| Number of Pages: | 27 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.31 |
| Uncontrolled Keywords: | Hamilton rendszer |
| Additional Information: | Bibliogr.: p. 23-27. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 13:46 |
| Last Modified: | 2023. Nov. 16. 13:46 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82281 |
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