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Homogenization of the conormal derivative problem for elliptic systems in Reifenberg domains

Cited 3 time in Web of Science Cited 3 time in Scopus
Authors

Byun, Sun Sig; Jang, Yunsoo

Issue Date
2018-03
Publisher
World Scientific Publishing Co
Citation
Communications in Contemporary Mathematics, Vol.20 No.2, p. 1650062
Abstract
We study homogenization of the conormal derivative problem for an elliptic system with discontinuous coefficients in a bounded domain. A uniform global W-1,W-p estimate for 1 < p < infinity is obtained under optimal assumptions that the coefficients have a small bounded mean oscillation (BMO) seminorm and the domain is a delta-Reifenberg flat domain whose boundary might be fractal.
ISSN
0219-1997
Language
English
URI
https://hdl.handle.net/10371/149702
DOI
https://doi.org/10.1142/S0219199716500620
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