Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents

Huiling Wu

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: The existence, nonexistence, and multiplicity of vector solutions of the linearly coupled Choquard type equations −Δu+V1xu=Iα∗uN+α/Nuα/N−1u+λv,x∈ℝN,−Δv+V2xv=Iα∗vN+α/Nvα/N−1v+λu,x∈ℝN,u,v∈H1ℝN, are proved, where α ∈ (0, N), N ≥ 3, V1(x)V2(x) ∈ L∞(ℝN) are positive functions, and Iα denotes the Riesz potential.

Date: 2020
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https://doi.org/10.1155/2020/6623902

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6623902

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