Multiplicity of solutions for the discrete Robin problem involving the \(p(k)\)-Laplace Kirchhoff type equations
Applicable Nonlinear Analysis, Volume 2, Issue 2, August 2025, Pages: 97–121
BRAHIM MOUSSA
LAboratoire de Mathématiques et Informatique, UFR/SEA, Université Nazi BONI,01 BP 1091 Bobo-Dioulasso 01, Burkina Faso
ISMAËL NYANQUINI
LAboratoire de Mathématiques et Informatique, UFR/SEA, Université Nazi BONI,01 BP 1091 Bobo-Dioulasso 01, Burkina Faso
STANISLAS OUARO
LAboratoire de Mathématiques et Informatique, UFR/SEA, Université Joseph KI-ZERBO,03 BP 7021 Ouagadougou 03, Burkina Faso
Abstract
In this paper, we establish results on the existence and multiplicity of solutions for a discrete Robin boundary value problem involving the variable exponent \(p(k)\)-Laplacian of Kirchhoff type in a finite-dimensional Banach space. Our approach relies on variational techniques combined with tools from critical point theory.
Cite this Article as
Brahim Moussa, IsmaëL Nyanquini, and Stanislas Ouaro, Multiplicity of solutions for the discrete Robin problem involving the \(p(k)\)-Laplace Kirchhoff type equations, Applicable Nonlinear Analysis, 2(2), 97–121, 2025