Existence and Multiplicity of Solutions for Anisotropic Discrete Boundary Value Problems Involving the $\left(p_{1}(t),p_{2}(t)\right)$-Laplacian

Omar Hammouti

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Existence and Multiplicity of Solutions for Anisotropic Discrete Boundary Value Problems Involving the $\left(p_{1}(t),p_{2}(t)\right)$-Laplacian

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KeyWord:Discrete nonlinear boundary value problems, nontrivial solution, $p(t)$-Laplacian, critical point theory

Author Name	Affiliation
Omar Hammouti	Laboratory LAMA, Department of Mathematics, Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz, B.P 1796, Atlas Fez, Morocco

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Abstract:

For an anisotropic discrete nonlinear problem with a variable exponent, we demonstrate both the existence and multiplicity of nontrivial solutions in this study. Our technique is based on variational methods.