Regularity for a fractional p-Laplace equation

Daniel Spector National Chiao Tung University Tien-Tsan Shieh National Center for Theoretical Science

Analysis of PDEs mathscidoc:1804.03004

Commun. Contemp. Math., 20, (1), 2017.10
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 Cs+╬▒loc-regularity for the homogeneous equation.
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  title={Regularity for a fractional p-Laplace equation},
  author={Daniel Spector, and Tien-Tsan Shieh},
  booktitle={Commun. Contemp. Math.},
Daniel Spector, and Tien-Tsan Shieh. Regularity for a fractional p-Laplace equation. 2017. Vol. 20. In Commun. Contemp. Math..
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