Ground state solutions for nonlinearly coupled systems of Choquard type with lower critical exponent
In this paper, we study the existence of ground state solutions for the following nonlinearly coupled systems of Choquard type with lower critical exponent by variational methods −∆u + V(x)u = (Iα ∗ |u| N +1 )|u| N −1u + p|u| p−2u|υ| q , in RN, −∆υ + V(x)υ = (Iα ∗ |υ| N +1 N −1 υ + q|υ| q−2 υ|u| p ,...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Choquard típusú egyenlet |
| doi: | 10.14232/ejqtde.2020.1.56 |
| Online Access: | http://acta.bibl.u-szeged.hu/70940 |
| LEADER | 01555nas a2200217 i 4500 | ||
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| 001 | acta70940 | ||
| 005 | 20211020135206.0 | ||
| 008 | 201130s2020 hu o 0|| zxx d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.56 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Li Anran | |
| 245 | 1 | 0 | |a Ground state solutions for nonlinearly coupled systems of Choquard type with lower critical exponent |h [elektronikus dokumentum] / |c Li Anran |
| 260 | |c 2020 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper, we study the existence of ground state solutions for the following nonlinearly coupled systems of Choquard type with lower critical exponent by variational methods −∆u + V(x)u = (Iα ∗ |u| N +1 )|u| N −1u + p|u| p−2u|υ| q , in RN, −∆υ + V(x)υ = (Iα ∗ |υ| N +1 N −1 υ + q|υ| q−2 υ|u| p , in RN. Where N ≥ 3, α ∈ (0, N), Iα is the Riesz potential, p, q ∈ 1, q N N−2 and N p + (N + 2)q < 2N + 4, N+α N is the lower critical exponent in the sense of Hardy– Littlewood–Sobolev inequality and V ∈ C(RN,(0, ∞)) is a bounded potential function. As far as we have known, little research has been done on this type of coupled systems up to now. Our research is a promotion and supplement to previous research. | |
| 695 | |a Choquard típusú egyenlet | ||
| 700 | 0 | 1 | |a Wang Peiting |e aut |
| 700 | 0 | 1 | |a Wei Chongqing |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/70940/1/ejqtde_2020_056.pdf |z Dokumentum-elérés |