Discrete p-Laplacian equations, Ground-state sign-changing homoclinic solutions, Ground-state homoclinic solutions, Non-Nehari manifold, Logarithmic nonlinearity, Analysis, QA299.6-433

Abstract By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions for a class of discrete nonlinear p-Laplacian equations with logarithmic nonlinearity. Moreover, we prove that the sign-changing ground-state energy is larger than twice the ground-state energy.