Year: 2025
Author: Mohammed Barghouthe, Mahmoud El Ahmadi, Abdesslem Ayoujil, Mohammed Berrajaa
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.439
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 439–452
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Critical point theory discrete problems variational methods $p(k)$-Laplacian-like operators.