@article{Long2023, 
author = {Yuhua Long and Dan Li},
title = {Multiple nontrivial periodic solutions to a second-order partial difference equation},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {3},
pages = {1596-1612},
keywords = {critical point theory, partial difference equation, variational technique, nontrivial periodic solutions},
url = {https://www.sciopen.com/article/10.3934/era.2023082},
doi = {10.3934/era.2023082},
abstract = {In this article, applying variational technique as well as critical point theory, we establish a series of criteria to ensure the existence and multiplicity of nontrivial periodic solutions to a second-order nonlinear partial difference equation. Our results generalize some known results. Moreover, numerical stimulations are presented to illustrate applications of our major findings.}
}