Gradient estimates for nonlinear elliptic double obstacle problems

被引：10

作者：

Byun, Sun-Sig ^{[1
,2
]}

Ryu, Seungjin ^{[3
]}

机构：

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

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

[3] Univ Seoul, Dept Math, Seoul 02504, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 194卷

关键词：

Calderon-Zygmund estimate; Double obstacle; Measurable nonlinearity; POTENTIALS; REGULARITY; EQUATIONS;

D O I：

10.1016/j.na.2018.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlinear elliptic double obstacle problem with irregular data and establish an optimal Calderon-Zygmund theory. The partial differential operator is of the p-Laplacian type and includes merely measurable coefficients in one variable. We prove that the gradient of a weak solution is as integrable as both the gradient of assigned two obstacles and the nonhomogeneous divergence term under a small BMO semi-norm assumption on the coefficients in the other variables. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页数：13

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