Byun, Sun-Sig; Chen, Hongbin; Kim, Mijoung; Wang, Lihe \(L^p\) regularity theory for linear elliptic systems. (English) Zbl 1189.35350 Discrete Contin. Dyn. Syst. 18, No. 1, 121-134 (2007). Summary: We consider the conormal derivative problem for an elliptic system in divergence form with discontinuous coefficients in a more general geometric setting. We obtain the \(L^{p}\) , \(1 < p <\infty\), regularity of the maximum order derivatives of the weak solutions for such a problem. Cited in 21 Documents MSC: 35R05 PDEs with low regular coefficients and/or low regular data 35R35 Free boundary problems for PDEs 35J15 Second-order elliptic equations 35J25 Boundary value problems for second-order elliptic equations Keywords:\(L^p\) estimates; elliptic system; BMO space; Reifenberg domain PDF BibTeX XML Cite \textit{S.-S. Byun} et al., Discrete Contin. Dyn. Syst. 18, No. 1, 121--134 (2007; Zbl 1189.35350) Full Text: DOI OpenURL