Sign-changing solutions to discrete nonlinear logarithmic Kirchhoff equations

In this paper, we study the discrete logarithmic Kirchhoff equation -(a+b ∫Z³|∇ u|² d μ) Δ u+(λ h(x)+1) u=|u|ᵖ⁻²u log u², x∈ Z³, where $a,b>0, p>6$ and λ 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.