Journal article
Elliptic equations with BMO coefficients in Reifenberg domains
Communications on pure and applied mathematics, Vol.57(10), pp.1283-1310
10/2004
DOI: 10.1002/cpa.20037
Abstract
The inhomogeneous Dirichlet problems concerning divergence form elliptic equations are studied. Optimal regularity requirements on the coefficients and domains for the W1,p theory, 1 < p < ∞, are obtained. The principal coefficients are supposed to be in the John-Nirenberg space with small BMO seminorms. The domain is a Reifenberg domain. These conditions for the W1,p theory not only weaken the requirements on the coefficients but also lead to a more general geometric condition on the domains. In fact, these domains might have fractal dimensions
Details
- Title: Subtitle
- Elliptic equations with BMO coefficients in Reifenberg domains
- Creators
- Sun-Sig Byun - University of Iowa, Department of Mathematics, 15 MLH, Iowa City, IA 52242-1419Lihe Wang - University of Iowa, Department of Mathematics, 15 MLH, Iowa City, IA 52242-1419
- Resource Type
- Journal article
- Publication Details
- Communications on pure and applied mathematics, Vol.57(10), pp.1283-1310
- Publisher
- Wiley Subscription Services, Inc., A Wiley Company
- DOI
- 10.1002/cpa.20037
- ISSN
- 0010-3640
- eISSN
- 1097-0312
- Number of pages
- 28
- Language
- English
- Date published
- 10/2004
- Academic Unit
- Mathematics
- Record Identifier
- 9984083224602771
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