JournalszaaVol. 24 , No. 2DOI 10.4171/zaa/1245

Global Regularity in Fractional Order Sobolev Spaces for the p-Laplace Equation on Polyhedral Domains

  • Carsten Ebmeyer

    Universität Bonn, Germany
  • M. Steinhauer

    Universität Bonn, Germany
  • Wenbin Liu

    University of Kent at Canterbury, United Kingdom
Global Regularity in Fractional Order Sobolev Spaces for the p-Laplace Equation on Polyhedral Domains cover

Abstract

The p-Laplace equation is considered for p > 2 on a n-dimensional convex polyhedral domain under a Dirichlet boundary value condition. Global regularity of weak solutions in weighted Sobolev spaces and in fractional order Nikolskij and Sobolev spaces are proven.