Fractional differentiability for elliptic double obstacle problems with measure data

被引：1

作者：

Byun, Sun -Sig ^{[1
]}

Song, Kyeong ^{[2
]}

Youn, Yeonghun ^{[3
]}

机构：

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

[2] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

[3] Yeungnam Univ, Dept Math, Gyongsan 38541, South Korea

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2023年 / 42卷 / 1-2期

基金：

新加坡国家研究基金会;

关键词：

Double obstacle problem; measure data; fractional differentiability; linearization; ZYGMUND THEORY; SINGULAR SET; REGULARITY; POTENTIALS; EQUATIONS; MINIMA;

D O I：

10.4171/ZAA/1721

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider elliptic double obstacle problems involving p-Laplacian type operators and measure data. We prove maximal fractional differentiability results in a completely linearized form under suitable differentiability assumptions on the obstacles. We also investigate fractional Sobolev- Morrey regularity for such problems under a density condition on the measures.

引用

页码：37 / 64

页数：28

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