TY - JOUR
T1 - On a Class of Discrete Problems with the $p(k)$-Laplacian-Like Operators
AU - Barghouthe , Mohammed
AU - Ahmadi , Mahmoud El
AU - Ayoujil , Abdesslem
AU - Berrajaa , Mohammed
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 439
EP - 452
PY - 2025
DA - 2025/04
SN - 7
DO - http://doi.org/10.12150/jnma.2025.439
UR - https://global-sci.org/intro/article_detail/jnma/23983.html
KW - Critical point theory, discrete problems, variational methods,
$p(k)$-Laplacian-like operators.
AB - <p style="text-align: justify;">In this paper, we consider a nonlinear discrete problem originating
from a capillary phenomena, involving the $p(k)$-Laplacian-like operators with
mixed boundary condition. Under appropriate assumptions on the function $f$ and its primitive $F$ near zero and infinity, we investigate the existence and
multiplicity of nontrivial solutions by using variational methods and critical
point theory.</p>