Variable Lorentz estimate for generalized Stokes systems in non-smooth domains

Variable Lorentz estimate for generalized Stokes systems in non-smooth domains

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 condi...

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Bibliographic Details
Main Authors: Shuang Liang, Shenzhou Zheng, Zhaosheng Feng
Format: Article
Language:English
Published: Texas State University 2019-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Generalized Stokes systems
Lorentz estimates with variable power
small BMO
Reifenberg flatness
large-M-inequality principle
Online Access:http://ejde.math.txstate.edu/Volumes/2019/109/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2019/109/abstr.html

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