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Volume 7, Issue 3
Existence and Multiplicity of Solutions for Anisotropic Discrete Boundary Value Problems Involving the ($p_1(t)$, $p_2(t)$)-Laplacian

Omar Hammouti

J. Nonl. Mod. Anal., 7 (2025), pp. 868-883.

Published online: 2025-05

[An open-access article; the PDF is free to any online user.]

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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.

  • AMS Subject Headings

47A75, 34B15, 35B38, 65Q10

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COPYRIGHT: © Global Science Press

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@Article{JNMA-7-868, author = {Hammouti , Omar}, title = {Existence and Multiplicity of Solutions for Anisotropic Discrete Boundary Value Problems Involving the ($p_1(t)$, $p_2(t)$)-Laplacian}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {868--883}, 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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.868}, url = {http://global-sci.org/intro/article_detail/jnma/24106.html} }
TY - JOUR T1 - Existence and Multiplicity of Solutions for Anisotropic Discrete Boundary Value Problems Involving the ($p_1(t)$, $p_2(t)$)-Laplacian AU - Hammouti , Omar JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 868 EP - 883 PY - 2025 DA - 2025/05 SN - 7 DO - http://doi.org/10.12150/jnma.2025.868 UR - https://global-sci.org/intro/article_detail/jnma/24106.html KW - Discrete nonlinear boundary value problems, nontrivial solution, $p(t)$-Laplacian, critical point theory. AB -

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.

Hammouti , Omar. (2025). Existence and Multiplicity of Solutions for Anisotropic Discrete Boundary Value Problems Involving the ($p_1(t)$, $p_2(t)$)-Laplacian. Journal of Nonlinear Modeling and Analysis. 7 (3). 868-883. doi:10.12150/jnma.2025.868
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