Global regularity for divergence form elliptic equations on quasiconvex domains

Huilian Jia; Dongsheng Li; Lihe Wang

doi:10.1016/j.jde.2010.08.015

Back

Global regularity for divergence form elliptic equations on quasiconvex domains

Journal article

Open access

Peer reviewed

Global regularity for divergence form elliptic equations on quasiconvex domains

Huilian Jia, Dongsheng Li and Lihe Wang

Journal of Differential Equations, Vol.249(12), pp.3132-3147

2010

DOI: 10.1016/j.jde.2010.08.015

Files and links (1)

url

https://doi.org/10.1016/j.jde.2010.08.015View

Published (Version of record) Open Access

Abstract

In this paper, we introduce a notion of quasiconvex domain, and show that the global W 1 , p regularity holds on such domains for a wide class of divergence form elliptic equations. The modified Vitali covering lemma, compactness method and the maximal function technique are the main analytical tools.

Quasiconvex domain

Compactness method

Vitali covering lemma

Maximal function

Details

Title: Subtitle: Global regularity for divergence form elliptic equations on quasiconvex domains
Creators: Huilian Jia - College of Science, Xi'An Jiaotong University, Xi'An 710049, China
Dongsheng Li - College of Science, Xi'An Jiaotong University, Xi'An 710049, China
Lihe Wang - Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
Resource Type: Journal article
Publication Details: Journal of Differential Equations, Vol.249(12), pp.3132-3147
DOI: 10.1016/j.jde.2010.08.015
ISSN: 0022-0396
eISSN: 1090-2732
Publisher: Elsevier Inc
Grant note: 10926079; 10771166 / NSFC 0701392 / NSF
Language: English
Date published: 2010
Academic Unit: Mathematics
Record Identifier: 9984083217802771

Metrics

23 Record Views

20 Times Cited - Web of Science