Variable Lorentz estimate for generalized Stokes systems in non-smooth domains
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We 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.
CitationLiang, S., Zheng, S., & Feng, Z. (2019). Variable Lorentz estimate for generalized Stokes systems in non-smooth domains. Electronic Journal of Differential Equations, 2019(109), pp. 1-29.
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