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 - <p style="text-align: justify;">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.</p>