paper

Wolff Type Potential Estimates for Stationary Stokes Systems with Dini-BMO Coefficients

arXiv:1904.06684

Abstract

The pointwise gradient estimate for weak solution pairs to the stationary Stokes system with Dini-BMO coefficients is established via the Havin-Maz'ya-Wolff type nonlinear potential of the nonhomogeneous term. In addition, we present a pointwise bound for the weak solutions under no extra regularity assumption on the coefficients.

19 pages

Wolff Type Potential Estimates for Stationary Stokes Systems with Dini-BMO Coefficients · wovepaper