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.
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收藏
页数：24
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