Gradient potential estimates in elliptic obstacle problems with Orlicz growth

被引：3
|
作者：
Xiong, Qi [1 ]
Zhang, Zhenqiu [1 ,2 ]
Ma, Lingwei [3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 61卷 / 03期
基金：
中国国家自然科学基金;
关键词：
REGULARITY; EQUATIONS;
D O I：
10.1007/s00526-022-02196-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper,we consider the solutions of the non-homogeneous elliptic obstacle problems with Orlicz growth involving measure data. We first establish the pointwise estimates of the approximable solutions to these problems via fractional maximal operators. Furthermore, we obtain pointwise and oscillation estimates for the gradients of solutions by the non-linear Wolff potentials, and these yield results on C-1,C-alpha-regularity of solutions.
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页数：33
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