Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains

Huilian Jia; Dongsheng Li; Lihe Wang

doi:10.1016/j.jmaa.2006.12.081

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Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains

Journal article

Open access

Peer reviewed

Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains

Huilian Jia, Dongsheng Li and Lihe Wang

Journal of mathematical analysis and applications, Vol.334(2), pp.804-817

2007

DOI: 10.1016/j.jmaa.2006.12.081

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Abstract

In this paper, we establish the global estimates for divergence form elliptic equations in the Orlicz space L ϕ ( Ω ) , where Ω is a bounded Reifenberg domain in R n . Our result generalizes the W 1 , p estimates.

Compactness method

Vitali covering lemma

Reifenberg flat domain

Maximal function

Details

Title: Subtitle: Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains
Creators: Huilian Jia - Department of Mathematics, School of Science, Xi'An Jiaotong University, Xi'An, Shaanxi 710049, China
Dongsheng Li - Department of Mathematics, School of Science, Xi'An Jiaotong University, Xi'An, Shaanxi 710049, China
Lihe Wang - Department of Mathematics, School of Science, Xi'An Jiaotong University, Xi'An, Shaanxi 710049, China
Resource Type: Journal article
Publication Details: Journal of mathematical analysis and applications, Vol.334(2), pp.804-817
DOI: 10.1016/j.jmaa.2006.12.081
ISSN: 0022-247X
eISSN: 1096-0813
Publisher: Elsevier Inc
Language: English
Date published: 2007
Academic Unit: Mathematics
Record Identifier: 9984083869102771

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