Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains

被引：6

作者：

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

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

来源：

FORUM MATHEMATICUM | 2011年 / 23卷 / 04期

关键词：

Gradient estimates; Orlicz spaces; nonlinear elliptic equations; BMO nonlinearity; Reifenberg domains; REGULARITY;

D O I：

10.1515/FORM.2011.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find an optimal gradient estimate in Orlicz spaces for a nonlinear elliptic equation in divergence form with discontinuous nonlinearity in a non-smooth domain.

引用

页码：693 / 711

页数：19

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