Irregular Double Obstacle Problems with Orlicz Growth

被引：9

作者：

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

Liang, Shuang ^{[3
]}

Ok, Jihoon ^{[4
,5
]}

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] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

[4] Kyung Hee Univ, Dept Appl Math, Yongin 17104, South Korea

[5] Kyung Hee Univ, Inst Nat Sci, Yongin 17104, South Korea

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 02期

关键词：

Nonlinear elliptic equation; Orlicz growth; Double obstacles; Calderon-Zygmund estimate; ELLIPTIC-EQUATIONS; POINTWISE REGULARITY; SPACES;

D O I：

10.1007/s12220-020-00352-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study an irregular double obstacle problem with Orlicz growth over a nonsmooth bounded domain. We establish a global Calderon-Zygmund estimate by proving that the gradient of the solution to such a nonlinear elliptic problem is as integrable as both the nonhomogeneous term in divergence form and the gradient of the associated double obstacles. We also investigate minimal regularity requirements on the relevant nonlinear operator for the desired regularity estimate.

引用

页码：1965 / 1984

页数：20

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