In this paper, we study the following quasilinear elliptic problem $$ \label{p11} \left\{\begin{array}{lll} \displaystyle -\sum_{i=1}^{N}D^{i} a_{i}(x,u,\nabla u) = f- \sum_{1 = 1}^{N} D^{i} F_{i} & \mbox{ in } \Omega, \\ \displaystyle u = 0 & \mbox{ on } \partial \Omega, \end{array}\right. $$ where $\displaystyle f \in L^{1}(\Omega)$ and $F_{i} \in L^{p_{i}'}(\Omega,\omega_{i}^{*})$. We establish the existence of $T-\vec{p}-\vec{\omega}$ solutions, and some regularity results were concluded.
Raiss, I. , Bouzemate, A. and Hjiaj, H. (2026). Existence of $T-\vec{p}-\vec{\omega}$ solutions for quasilinear elliptic problem in anisotrpic weighted Sobolev spaces. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2026.62613.2770
MLA
Raiss, I. , , Bouzemate, A. , and Hjiaj, H. . "Existence of $T-\vec{p}-\vec{\omega}$ solutions for quasilinear elliptic problem in anisotrpic weighted Sobolev spaces", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2026.62613.2770
HARVARD
Raiss, I., Bouzemate, A., Hjiaj, H. (2026). 'Existence of $T-\vec{p}-\vec{\omega}$ solutions for quasilinear elliptic problem in anisotrpic weighted Sobolev spaces', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2026.62613.2770
CHICAGO
I. Raiss , A. Bouzemate and H. Hjiaj, "Existence of $T-\vec{p}-\vec{\omega}$ solutions for quasilinear elliptic problem in anisotrpic weighted Sobolev spaces," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2026.62613.2770
VANCOUVER
Raiss, I., Bouzemate, A., Hjiaj, H. Existence of $T-\vec{p}-\vec{\omega}$ solutions for quasilinear elliptic problem in anisotrpic weighted Sobolev spaces. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2026.62613.2770
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