Ground state solutions for asymptotically periodic fractional Choquard equations
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 mani...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Choquard egyenlet |
| doi: | 10.14232/ejqtde.2019.1.2 |
| Online Access: | http://acta.bibl.u-szeged.hu/58115 |
| LEADER | 01415nas a2200217 i 4500 | ||
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| 005 | 20260224081030.0 | ||
| 008 | 190531s2019 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.2 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Chen Sitong | |
| 245 | 1 | 0 | |a Ground state solutions for asymptotically periodic fractional Choquard equations |h [elektronikus dokumentum] / |c Chen Sitong |
| 260 | |c 2019 | ||
| 300 | |a 1-13 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Choquard egyenlet | ||
| 700 | 0 | 1 | |a Tang Xianhua |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/58115/1/ejqtde_2019_002.pdf |z Dokumentum-elérés |