Chen Sitong and Tang Xianhua: Ground state solutions for asymptotically periodic fractional Choquard equations. (2019)
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Abstract
This paper is dedicated to studying the following fractional Choquard equation (−4) su + V(x)u = �Z RN Q(y)F(u(y)) |x − y| dy Q(x)f(u), u ∈ H s (R N), where s ∈ (0, 1), N ≥ 3, µ ∈ (0, N), V(x) and Q(x) are periodic or asymptotically periodic, and F(t) = R t 0 f(s)ds. By combining the non-Nehari manifold approach with some new inequalities, we establish the existence of Nehari type ground state solutions for the above problem in the periodic and asymptotically periodic cases under mild assumptions on f . Our results generalize and improve the ones in [Y. H. Chen, C. G. Liu, Nonlinearity 29(2016), 1827–1842] and some related literature.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 2 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-13 |
| DOI: | 10.14232/ejqtde.2019.1.2 |
| Uncontrolled Keywords: | Choquard egyenlet |
| Additional Information: | Bibliogr.: p. 11-13. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 31. 07:27 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58115 |
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