Journal article
Hessian estimates for fourth order elliptic systems with singular BMO coefficients in composite Reifenberg domains
Journal of functional analysis, Vol.268(3), pp.555-584
02/01/2015
DOI: 10.1016/j.jfa.2014.10.011
Abstract
We consider fourth order elliptic systems in divergence form with greatly discontinuous coefficients in a nonsmooth domain. Our domain is composed of a finite number of disjoint subdomains with (δ,R)-Reifenberg flat boundaries, and the coefficients, which are allowed to have great discontinuity across the boundaries of subdomains, have small BMO semi-norms on each subdomain. Our main result is deriving the global W2,p (1<p<∞) regularity, with the estimates independent of the distance between the subdomains.
Details
- Title: Subtitle
- Hessian estimates for fourth order elliptic systems with singular BMO coefficients in composite Reifenberg domains
- Creators
- Fangju Hu - Xi'an Jiaotong UniversityDongsheng Li - Xi'an Jiaotong UniversityLihe Wang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.268(3), pp.555-584
- DOI
- 10.1016/j.jfa.2014.10.011
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Publisher
- Elsevier Inc
- Grant note
- 11171266 / NSFC (http://dx.doi.org/10.13039/501100001809)
- Language
- English
- Date published
- 02/01/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984241052902771
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