Singular elliptic measure data problems with irregular obstacles

被引：0

作者：

Byun, Sun -Sig ^{[1
]}

Song, Kyeong ^{[2
]}

Youn, Yeonghun ^{[3
]}

机构：

[1] Seoul Natl Univ, Res Inst Math, Dept Math Sci, 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：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2024年 / 245卷

基金：

新加坡国家研究基金会;

关键词：

Singular p-laplacian; Irregular obstacle; Measure data; Potential estimate; RIESZ-POTENTIALS; ZYGMUND THEORY; REGULARITY; GROWTH;

D O I：

10.1016/j.na.2024.113559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate elliptic irregular obstacle problems with p-growth involving measure data. Emphasis is on the strongly singular case 1 < p <= 2-1/n, and we obtain several new comparison estimates to prove gradient potential estimates in an intrinsic form. Our approach can be also applied to derive zero-order potential estimates.

引用

页数：24

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