Solutions of a parametric weighted double phase discrete problem with $(p_1, p_2)$-Laplacian equation

OUSBIKA, Mohamed

doi:10.22075/ijnaa.2026.41486.5710

Solutions of a parametric weighted double phase discrete problem with $(p_1, p_2)$-Laplacian equation

Articles in Press

Document Type : Research Paper

Author

Mohamed OUSBIKA

Team of Modeling and Scientific Computing, Multidisciplinary Faculty of Nador, Oriental Applied Mathematics Laboratory, Mohamemd First University-Oujda, Morocco

10.22075/ijnaa.2026.41486.5710

Abstract

We investigate a discrete nonlinear problem governed by a weighted double-phase $(p_1, p_2)$-Laplace operator subject to Dirichlet boundary conditions. By employing direct methods from the calculus of variations, we establish results on the existence and nonexistence of nontrivial solutions.

Keywords

Difference equations

Discrete boundary value problem

Variational methods

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