文章基本信息

标题：Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents
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作者：Huiling Wu
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2020
卷号：2020
页码：1-12
DOI：10.1155/2020/6623902
出版社：Hindawi Publishing Corporation
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.