Hessian estimates for fourth order elliptic systems with singular BMO coefficients in composite Reifenberg domains
Hessian estimates for fourth order elliptic systems with singular BMO coefficients in composite Reifenberg domains
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DOI：
10.1016/j.jfa.2014.10.011
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发表时间：
2015-02
影响因子：
1.7
通讯作者：
Fangju Hu;Dongsheng Li;Lihe Wang
中科院分区：
文献类型：
--
作者：
Fangju Hu;Dongsheng Li;Lihe Wang
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 W 2, p (1< p<∞) regularity, with the estimates independent of the distance between the subdomains.
