@Article{JNMA-7-439, author = {Barghouthe , MohammedAhmadi , Mahmoud ElAyoujil , Abdesslem and Berrajaa , Mohammed}, title = {On a Class of Discrete Problems with the $p(k)$-Laplacian-Like Operators}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {2}, pages = {439--452}, abstract = {
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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.439}, url = {http://global-sci.org/intro/article_detail/jnma/23983.html} }