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On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method | ||
| Journal of Mathematical Modeling | ||
| مقاله 23، دوره 13، شماره 1، خرداد 2025، صفحه 169-182 اصل مقاله (187.71 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.27119.2387 | ||
| نویسنده | ||
| Mykola Yaremenko* | ||
| The National Technical University of Ukraine, Igor Sikorsky Kyiv Polytechnic Institute, 37, Prospect Beresteiskyi (former Peremohy), Kyiv, Ukraine, 03056 | ||
| چکیده | ||
| In this article, we consider an elliptic system of partial differential equations in the general form \[\sum _{i=1,..., n}\frac{d}{dx_{i} } A_{i} \left(x,\; \overrightarrow{u},\; \nabla \overrightarrow{u}\right) +B\left(x,\; \overrightarrow{u},\; \nabla \overrightarrow{u}\right)=0\] under fair general conditions on its structural coefficients. We study the regularity properties of the solutions to this system, and we establish the existence of a Holder solution by the modified Leray-Schauder fixed-point method and the application of the apriori estimations obtained with utilization of form-boundary conditions. | ||
| کلیدواژه‌ها | ||
| Quasilinear Partial Differential Equation؛ Holder solution؛ regularity theory؛ Leray-Schauder theorem؛ form-bounded | ||
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آمار تعداد مشاهده مقاله: 68 تعداد دریافت فایل اصل مقاله: 129 |
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