@article{He2023, 
author = {Huiting He and Mohamed Ousbika and Zakaria El Allali and Jiabin Zuo},
title = {Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with  p-Laplacian},
year = {2023},
journal = {Communications in Analysis and Mechanics},
volume = {15},
number = {4},
pages = {598-610},
keywords = {partial discrete nonlinear problem, critical point theory, p-Laplacian, non-trivial solutions},
url = {https://www.sciopen.com/article/10.3934/cam.2023030},
doi = {10.3934/cam.2023030},
abstract = {We investigate the non-trivial solutions for a partial discrete Dirichlet nonlinear problem with  p-Laplacian by applying Ricceri's variational principle and a two non-zero critical points theorem. In addition, we identify open intervals of the parameter  λ under appropriate constraints imposed on the nonlinear term. This allows us to ensure that the nonlinear problem has at least one or two non-trivial solutions.}
}