Volume 7, Issue 5
On a Class of Eigenvalue Elliptic Systems in Fractional Sobolev Spaces with Variable Exponents

Elhoussine Azroul, Athmane Boumazourh & El-Yahyaoui

J. Nonl. Mod. Anal., 7 (2025), pp. 1792-1810.

Published online: 2025-09

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  • Abstract

In this work, we consider a class of eigenvalue elliptic systems involving the fractional $(p(x, .), q(x, .))$-Laplacian operators. Our main tools are based on Mountain Pass Theorem and Fountain Theorem.

  • AMS Subject Headings

35J48, 35J50, 46E35

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COPYRIGHT: © Global Science Press

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@Article{JNMA-7-1792, author = {Azroul , ElhoussineBoumazourh , Athmane and , El-Yahyaoui}, title = {On a Class of Eigenvalue Elliptic Systems in Fractional Sobolev Spaces with Variable Exponents}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {5}, pages = {1792--1810}, abstract = {

In this work, we consider a class of eigenvalue elliptic systems involving the fractional $(p(x, .), q(x, .))$-Laplacian operators. Our main tools are based on Mountain Pass Theorem and Fountain Theorem.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1792}, url = {http://global-sci.org/intro/article_detail/jnma/24390.html} }
TY - JOUR T1 - On a Class of Eigenvalue Elliptic Systems in Fractional Sobolev Spaces with Variable Exponents AU - Azroul , Elhoussine AU - Boumazourh , Athmane AU - , El-Yahyaoui JO - Journal of Nonlinear Modeling and Analysis VL - 5 SP - 1792 EP - 1810 PY - 2025 DA - 2025/09 SN - 7 DO - http://doi.org/10.12150/jnma.2025.1792 UR - https://global-sci.org/intro/article_detail/jnma/24390.html KW - Elliptic systems, generalized fractional Sobolev spaces, variational methods, variational principle, fractional $p(x, .)$-Laplacian, mountain pass Theorem, Fountain Theorem. AB -

In this work, we consider a class of eigenvalue elliptic systems involving the fractional $(p(x, .), q(x, .))$-Laplacian operators. Our main tools are based on Mountain Pass Theorem and Fountain Theorem.

Azroul , ElhoussineBoumazourh , Athmane and , El-Yahyaoui. (2025). On a Class of Eigenvalue Elliptic Systems in Fractional Sobolev Spaces with Variable Exponents. Journal of Nonlinear Modeling and Analysis. 7 (5). 1792-1810. doi:10.12150/jnma.2025.1792
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