Log-BMO matrix weights and quasilinear elliptic equations with Orlicz growth in Reifenberg domains
点击次数：
DOI码：
10.1112/jlms.70151
发表刊物：
J. London Math. Soc. (2)
摘要：
We study a very general quasilinear elliptic equation
with the nonlinearity with Orlicz growth subject to
a degenerate or singular matrix weight on a bounded
nonsmooth domain. The nonlinearity satisfies a nonstandard
growth condition related to the associated
Young function, and the logarithm of the matrix weight
in BMO (bounded mean oscillation) is constrained by a
smallness parameter which has a close relationship with
the Young function. We establish a global Calderón–
Zygmund estimate forthe weak solution ofsuch a degenerate
or singular problem in the setting of a weighted
Orlicz space under a minimal geometric assumption
that the boundary of the domain is sufficiently flat in
the Reifenberg sense. Our regularity result is, up to our
knowledge, the first one available for divergence structure
quasilinear elliptic equations with matrix weights
and nonstandard growth in the literature.
论文类型：
期刊论文
通讯作者：
S. Byun, R. Yang
卷号：
2025
期号：
111
页面范围：
e70151, 1-31.
是否译文：
否
收录刊物：
SCI
附件：
学位：博士学位
职称：副教授
所在单位：数学与统计学院