TY - JOUR
T1 - Double-Phase Elliptic Equations with Nonlinear Sources Existence and Uniqueness of the Weak Solution
AU - Hassoune , El Mehdi
AU - Jamea , Ahmed
AU - Laghdir , Mohamed
AU - Kaddiri , Adnane
JO - Journal of Nonlinear Modeling and Analysis
VL - 5
SP - 1757
EP - 1767
PY - 2025
DA - 2025/09
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1757
UR - https://global-sci.org/intro/article_detail/jnma/24388.html
KW - Weak solution, uniqueness solutions, double phase operator, nonlinear elliptic equations.
AB - <p style="text-align: justify;">In our work, our objective is to prove the existence and uniqueness
of a weak solution to a class of nonlinear degenerate elliptic $(p, q)$-Laplacian
problem with Dirichlet-type boundary condition by giving $L^ ∞$ data. The
principal technique utilized here is the variational method alongside the theory
of Orlicz spaces and Minty-Browder theorem.</p>