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Existence results for nonlinear elliptic $\overrightarrow{p}(\cdot)-$equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 16، دوره 14، شماره 1، فروردین 2026، صفحه 235-246 اصل مقاله (410.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.61426.2644 | ||
| نویسنده | ||
| Mokhtar Naceri* | ||
| ENS of Laghouat; Box 4033 Station post avenue of Martyrs, Laghouat, Algeria. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Variable exponent؛ Nonlinear elliptic equation؛ Anisotropic Lebesgue-Sobolev space؛ Distributional solution؛ Existence؛ Compound nonlinearity | ||
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آمار تعداد مشاهده مقاله: 189 تعداد دریافت فایل اصل مقاله: 301 |
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