Sign-changing solutions to discrete nonlinear logarithmic Kirchhoff equations

In this paper, we study the discrete logarithmic Kirchhoff equation $$-(a+b{\int }_{{\mathbb{Z}}^3}\mathrm{\mid }\mathrm{\nabla }u{\mathrm{\mid }}^{2}d\mu )\mathrm{\Delta }u+(\lambda h(x)+1)u=\mathrm{\mid }u{\mathrm{\mid }}^{p-2}u\log u^2,x\in {\mathbb{Z}}^3,$$ where $a,b>0,p>6$ and $\lambda$ 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.