Solutions to discrete nonlinear Kirchhoff-Choquard equations with power nonlinearity

In this paper, we study the following Kirchhoff-Choquard equation - (a+b ₙ℃| u|^2 d) u+h (x) u= (R_|u|^p) |u|^p-2u, x Z³, where a, \, b>0, (0, 3) are constants and R_ is the Green's function of the discrete fractional Laplacian that behaves as the Riesz potential. Under some suitable assumptions on potential function h, for p>2, we first establish the existence of ground state solutions based on the Nehari manifold. Subsequently, for p>4, we obtain the existence of ground state sign-changing solutions by adopting constrained minimization arguments on the sign-changing Nehari manifold.