Academic Journal
Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
| العنوان: | Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains |
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| المؤلفون: | Zhang Junqiang, Yang Dachun, Yang Sibei |
| المصدر: | Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 535-579 (2021) |
| بيانات النشر: | De Gruyter, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Analysis |
| مصطلحات موضوعية: | reifenberg flat domain, degenerate elliptic equation, muckenhoupt weight, variable lebesgue space, bmo, primary 35j70, secondary 35b65, 46e35, 42b35, 42b37, Analysis, QA299.6-433 |
| الوصف: | Let w be a Muckenhoupt A2(ℝn) weight and Ω a bounded Reifenberg flat domain in ℝn. Assume that p (·):Ω → (1, ∞) is a variable exponent satisfying the log-Hölder continuous condition. In this article, the authors investigate the weighted W1, p (·)(Ω, w)-regularity of the weak solutions of second order degenerate elliptic equations in divergence form with Dirichlet boundary condition, under the assumption that the degenerate coefficients belong to weighted BMO spaces with small norms. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2191-9496 2191-950X |
| Relation: | https://doaj.org/toc/2191-9496; https://doaj.org/toc/2191-950X |
| DOI: | 10.1515/anona-2021-0206 |
| URL الوصول: | https://doaj.org/article/6a440974c9924781a21e14cd312b303d |
| رقم الانضمام: | edsdoj.6a440974c9924781a21e14cd312b303d |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 21919496 2191950X |
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| DOI: | 10.1515/anona-2021-0206 |