@article{Li2025, 
author = {Dan Li and Yuhua Long},
title = {On periodic solutions of second-order partial difference equations involving p-Laplacian},
year = {2025},
journal = {Communications in Analysis and Mechanics},
volume = {17},
number = {1},
pages = {128-144},
keywords = {variational method, existence, periodic solution, nonexistence, partial difference equation involving p-Laplacian},
url = {https://www.sciopen.com/article/10.3934/cam.2025006},
doi = {10.3934/cam.2025006},
abstract = {By combining variational techniques with the saddle point theorem, we investigate the existence and nonexistence of periodic solutions to second-order partial difference equations involving p-Laplacians. Our obtained results generalize and complement some known ones. Finally, we display some examples and numerical simulations to show the validity of our main results.}
}