ADDENDUM TO ARTICLE 'A COUNTEREXAMPLE RELATED TO THE REGULARITY OF THE p-STOKES PROBLEM'

摘要

We show existence of a solenoidal vector field u belonging to W2,qΩ∩W01,sΩ,documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {W}^{2,q}left(Omega ight)cap {W}_0^{1,s}left(Omega ight), $$end{document} s ∈ (1,âˆ), q ∈ (1, n), such that (δ+|Du|)p−2, p ∈ (1, 2)∪(2,âˆ), δ ∈ [0, 1], does not belong to the Muckenhoupt class Aâˆ(Ω). This is an extension of our result in [1] proved for δ = 1.