Regularity for a fractional p-Laplace equation

Armin Schikorra, Tien Tsan Shieh, Daniel E. Spector

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2018 Feb 1
Externally publishedYes


  • Fractional p-Laplacian
  • fractional gradient
  • regularity theory

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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