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Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities
- Source :
- Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 31, Pp 1-27 (2023)
- Publication Year :
- 2023
- Publisher :
- University of Szeged, 2023.
-
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.
Details
- Language :
- English
- ISSN :
- 14173875
- Volume :
- 2023
- Issue :
- 31
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Qualitative Theory of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.7eafc0a942e44dabbdf24d66b352bf68
- Document Type :
- article
- Full Text :
- https://doi.org/10.14232/ejqtde.2023.1.31