Regularity for a fractional p-Laplace equation

Armin Schikorra, Tien Tsan Shieh, Eli Spector

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7 Scopus citations

Abstract

In this note, we consider regularity theory for a fractional p-Laplace operator which arises in the complex interpolation of the Sobolev spaces, the Hs,p-Laplacian. We obtain the natural analogue to the classical p-Laplacian situation, namely Clocs+α-regularity for the homogeneous equation.

Original languageEnglish
Article number1750003
JournalCommunications in Contemporary Mathematics
Volume20
Issue number1
DOIs
StatePublished - 1 Feb 2018

Keywords

  • fractional gradient
  • Fractional p-Laplacian
  • regularity theory

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