On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term

Wenbo Wang, Jianwen Zhou and Yongkun Li

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

Abstract: In the present paper, we consider the following Hamiltonian elliptic system with Choquard’s nonlinear term −Δu+Vxu=∫ΩGvy/x−yβdygv in Ω,−Δv+Vxv=∫ΩFuy/x−yαdyfu in Ω,u=00,v= on ∂Ω,where Ω ⊂ ℝN is a bounded domain with a smooth boundary, 0

Date: 2020
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https://doi.org/10.1155/2020/8358629

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8358629

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