Sign-changing solutions to discrete nonlinear logarithmic Kirchhoff equations

In this paper, we study the discrete logarithmic Kirchhoff equation - (a+b ₙ℃| u|^2 d) u+ (h (x) +1) u=|u|^p-2u u^2, x Z³, where a, b>0, p>6 and is a positive parameter. Under suitable assumptions on h (x), we prove the existence and asymptotic behavior of least energy sign-changing solutions for the equation by the method of Nehari manifold.