Liang, ShuangZheng, ShenzhouFeng, Zhaosheng2021-12-032021-12-032019-09-26Liang, S., Zheng, S., & Feng, Z. (2019). Variable Lorentz estimate for generalized Stokes systems in non-smooth domains. <i>Electronic Journal of Differential Equations, 2019</i>(109), pp. 1-29.1072-6691https://hdl.handle.net/10877/15003We prove a global Calderon-Zygmund type estimate in the framework of Lorentz spaces for the variable power of the gradient of weak solution pair (u,P) to the generalized steady Stokes system over a bounded non-smooth domain. It is assumed that the leading coefficients satisfy the small BMO condition, the boundary of domain belongs to Reifenberg flatness, and the variable exponent p(x) is log-Holder continuous.Text29 pages1 file (.pdf)enAttribution 4.0 InternationalGeneralized Stokes systemsLorentz estimates with variable powerSmall BMOReifenberg flatnessLarge-M-inequality principleArticle