@article{Long2022, 
author = {Yuhua Long and Huan Zhang},
title = {Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {7},
pages = {2681-2699},
keywords = {discrete elliptic Dirichlet problem, local linking, Morse theory, nontrivial solution},
url = {https://www.sciopen.com/article/10.3934/era.2022137},
doi = {10.3934/era.2022137},
abstract = {In this paper, we study discrete elliptic Dirichlet problems. Applying a variational technique together with Morse theory, we establish several results on the existence and multiplicity of nontrivial solutions. Finally, two examples and numerical simulations are provided to illustrate our theoretical results.}
}