Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities
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...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Hamilton rendszer |
| doi: | 10.14232/ejqtde.2023.1.31 |
| Online Access: | http://acta.bibl.u-szeged.hu/82281 |
| LEADER | 01199nas a2200205 i 4500 | ||
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| 024 | 7 | |a 10.14232/ejqtde.2023.1.31 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Wu Dong-Lun | |
| 245 | 1 | 0 | |a Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities |h [elektronikus dokumentum] / |c Wu Dong-Lun |
| 260 | |c 2023 | ||
| 300 | |a 27 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Hamilton rendszer | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/82281/1/ejqtde_2023_031.pdf |z Dokumentum-elérés |