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In this paper, we study the discrete Kirchhoff-Choquard equation - (a+b ₙ℃| u|^2 d) u+V (x) u= (R_ *F (u) ) f (u), x Z³, where a, \, b>0 are constants, R_ is the Green's function of the discrete fractional Laplacian with (0, 3), which has no singularity but has same asymptotics as the Riesz potential. Under some suitable assumptions on V and f, we prove the existence of nontrivial solutions and ground state solutions by variational methods.
Lidan Wang (Wed,) studied this question.
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