فهرست نشریات علمی دسترسی آزاد ایران

This paper investigates the existence of distributional solutions for a class of nonlinear elliptic $\overrightarrow{p}(\cdot)-$equations, the analysis focuses on the right-hand side, which comprises of a datum $f\in L^{\overrightarrow{p'}(\cdot)}(\Omega)$ that is independent of $u$, and a compound nonlinear term involving a given function $g \in L^{\overrightarrow{p}(\cdot)}(\Omega)$, the solution  $u$ and its partial derivatives $\partial_iu,\,i\in\{1,\ldots,N\}$, where $L^{\overrightarrow{p}(\cdot)}(\Omega)$ and $L^{\overrightarrow{p'}(\cdot)}(\Omega)$ represent the variable exponents anisotropic Lebesgue spaces.