  By using a direct non-Nehari manifold method from [X.H. Tang, B.T. Cheng. J.
Differ. Equations. 261(2016), 2384-2402.], we obtain an existence result of
ground state sign-changing homoclinic solution which only changes sign one
times and ground state homoclinic solution for a class of discrete nonlinear
$p$-Laplacian equation with logarithmic nonlinearity. Moreover, we prove that
the sign-changing ground state energy is larger than twice of the ground state
energy.
