Nonlinear gradient estimates for elliptic double obstacle problems with measure data

被引：5

作者：

Byun, Sun-Sig ^{[1
,2
]}

Cho, Yumi ^{[1
]}

Park, Jung-Tae ^{[3
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

[3] Korea Inst Adv Study, Seoul 02455, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 293卷

关键词：

Elliptic double obstacle problem; Measure data; Variable exponent growth; Gradient estimate; Reifenberg flat domain; REIFENBERG FLAT DOMAINS; PARABOLIC EQUATIONS; UNILATERAL PROBLEMS; REGULARITY; POTENTIALS; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.jde.2021.05.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study quasilinear elliptic double obstacle problems with a variable exponent growth when the righthand side is a measure. A global Calder & oacute;n-Zygmund estimate for the gradient of an approximable solution is obtained in terms of the associated double obstacles and a given measure, identifying minimal requirements for the regularity estimate. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页码：249 / 281

页数：33

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