Calderon-Zygmund type estimates for singular quasilinear elliptic obstacle problems with measure data

被引：3
|
作者：
Tran, Minh-Phuong [1 ]
Nguyen, Thanh-Nhan [2 ]
Huynh, Phuoc-Nguyen [3 ]
机构：
[1] Ton Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam
[2] Ho Chi Minh City Univ Educ, Grp Anal & Appl Math, Dept Math, Ho Chi Minh City, Vietnam
[3] Nguyen High Sch, Ho Chi Minh City, Vietnam
来源：
STUDIA MATHEMATICA | 2023年 / 271卷 / 03期
关键词：
elliptic obstacle problems; measure data; p-Laplacian type; frac-tional maximal functions; gradient estimates; Calderon-Zygmund type estimates; UNILATERAL PROBLEMS; EQUATIONS; EXISTENCE; BOUNDS; POTENTIALS; UNIQUENESS;
D O I：
10.4064/sm220321-26-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish a Calderon-Zygmund type estimate for elliptic obstacle prob-lems of p-Laplace type involving measure data under fractional maximal functions. Here, the problem is considered for the singular case when 1 < p & LE; 2 - 1/n and we prove the global regularity for weak solutions in the Lorentz spaces setting, under the assumption of small BMO coefficients and the domain being sufficiently fiat in Reifenberg's sense.
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页码：287 / 319
页数：33
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