Ye Yiwei: Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system. (2019)
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Abstract
In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution and also infinitely many homoclinic solutions for the second order Hamiltonian system u¨ − a(t)|u| p−2u + ∇W(t, u) = 0, t ∈ R, where p > 2, a ∈ C(R, R) with inft∈R a(t) > 0 and R R 1 a(t) �2/(p−2) dt < +∞, and W(t, x) is, as |x| → ∞, superquadratic or subquadratic with certain hypotheses different from those used in previous related studies. Our approach is variational and we use the Cerami condition instead of the Palais–Smale one for deformation arguments.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 11 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-26 |
| DOI: | 10.14232/ejqtde.2019.1.11 |
| Uncontrolled Keywords: | Hamilton-rendszer |
| Additional Information: | Bibliogr.: p. 23-26. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 31. 06:22 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58106 |
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