Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains

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 orde...

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Autores principales:	Zhang Junqiang, Yang Dachun, Yang Sibei
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	reifenberg flat domain degenerate elliptic equation muckenhoupt weight variable lebesgue space bmo primary 35j70 secondary 35b65 46e35 42b35 42b37 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/6a440974c9924781a21e14cd312b303d
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spelling	oai:doaj.org-article:6a440974c9924781a21e14cd312b303d2021-12-05T14:10:40ZWeighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains2191-94962191-950X10.1515/anona-2021-0206https://doaj.org/article/6a440974c9924781a21e14cd312b303d2021-10-01T00:00:00Zhttps://doi.org/10.1515/anona-2021-0206https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XLet 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.Zhang JunqiangYang DachunYang SibeiDe Gruyterarticlereifenberg flat domaindegenerate elliptic equationmuckenhoupt weightvariable lebesgue spacebmoprimary 35j70secondary 35b6546e3542b3542b37AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 535-579 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	reifenberg flat domain degenerate elliptic equation muckenhoupt weight variable lebesgue space bmo primary 35j70 secondary 35b65 46e35 42b35 42b37 Analysis QA299.6-433
spellingShingle	reifenberg flat domain degenerate elliptic equation muckenhoupt weight variable lebesgue space bmo primary 35j70 secondary 35b65 46e35 42b35 42b37 Analysis QA299.6-433 Zhang Junqiang Yang Dachun Yang Sibei Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
description	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.
format	article
author	Zhang Junqiang Yang Dachun Yang Sibei
author_facet	Zhang Junqiang Yang Dachun Yang Sibei
author_sort	Zhang Junqiang
title	Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
title_short	Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
title_full	Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
title_fullStr	Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
title_full_unstemmed	Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
title_sort	weighted w1, p (·)-regularity for degenerate elliptic equations in reifenberg domains
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/6a440974c9924781a21e14cd312b303d
work_keys_str_mv	AT zhangjunqiang weightedw1pregularityfordegenerateellipticequationsinreifenbergdomains AT yangdachun weightedw1pregularityfordegenerateellipticequationsinreifenbergdomains AT yangsibei weightedw1pregularityfordegenerateellipticequationsinreifenbergdomains
_version_	1718371843890479104

Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains

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