摘要：The existence, nonexistence, and multiplicity of vector solutions of the linearly coupled Choquard type equations − Δ u V 1 x u = I α ∗ u N α / N u α / N − 1 u λ v , x ∈ ℝ N , − Δ v V 2 x v = I α ∗ v N α / N v α / N − 1 v λ u , x ∈ ℝ N , u , v ∈ H 1 ℝ N , are proved, where α ∈ 0 , N , N ≥ 3 , V 1 x V 2 x ∈ L ∞ ℝ N are positive functions, and I α denotes the Riesz potential.
