01555nas a2200217 i 4500 acta70940 20260224081030.0 201130s2020 hu o 000 hun d 1417-3875 10.14232/ejqtde.2020.1.56 doi SZTE Egyetemi Kiadványok Repozitórium hun hun Li Anran Ground state solutions for nonlinearly coupled systems of Choquard type with lower critical exponent [elektronikus dokumentum] / Li Anran 2020 Electronic journal of qualitative theory of differential equations 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. Choquard típusú egyenlet Wang Peiting aut Wei Chongqing aut http://acta.bibl.u-szeged.hu/70940/1/ejqtde_2020_056.pdf Dokumentum-elérés