Journal article
W 1, p(·)-Regularity for Elliptic Equations with Measurable Coefficients in Nonsmooth Domains
Communications in mathematical physics, Vol.329(3), pp.937-958
08/2014
DOI: 10.1007/s00220-014-1962-8
Abstract
We establish global W
1, p(·)-estimates for second order elliptic equations in divergence form under the natural assumption that p(·) is log-Hölder continuous. To this end, we assume that the coefficients are measurable in one variable and have small BMO semi-norms in the other variables and the boundary of the domain is Reifenberg flat. Our work is an optimal and natural extension of W
1,p
-regularity for such equations with merely measurable coefficients beyond Lipschitz domains.
Details
- Title: Subtitle
- W 1, p(·)-Regularity for Elliptic Equations with Measurable Coefficients in Nonsmooth Domains
- Creators
- Sun-Sig Byun - Department of Mathematical Sciences, Research Institute of Mathematics Seoul National University Seoul 151-747 KoreaJihoon Ok - Department of Mathematical Sciences Seoul National University Seoul 151-747 KoreaLihe Wang - Department of Mathematics University of Iowa Iowa City IA 52246 USA
- Resource Type
- Journal article
- Publication Details
- Communications in mathematical physics, Vol.329(3), pp.937-958
- Publisher
- Springer Berlin Heidelberg
- DOI
- 10.1007/s00220-014-1962-8
- ISSN
- 0010-3616
- eISSN
- 1432-0916
- Language
- English
- Date published
- 08/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984083837202771
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