Wu, Dong-Lun (2023) Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (31). pp. 1-27. ISSN 1417-3875
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Official URL: https://doi.org/10.14232/ejqtde.2023.1.31
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: | Article |
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| Uncontrolled Keywords: | multiple homoclinic solutions, asymptotically autonomous Hamiltonian systems, indefinite sign nonlinearities, best constant for Sobolev inequality, the Concentration-Compactness Principle |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:44 |
| Last Modified: | 02 Apr 2024 10:35 |
| URI: | https://real.mtak.hu/id/eprint/185156 |
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