Regularity for a fractional $p$-Laplace equation

Daniel Spector National Chiao Tung University Armin Schikorra University of Frieberg Tien-Tsan Shieh National Central University

Analysis of PDEs mathscidoc:1703.03005

Communications in Contemporary Mathematics
In this note we consider regularity theory for a fractional p-Laplace operator which arises in the complex interpolation of the Sobolev spaces, the $H^{s,p}$-Laplacian. We obtain the natural analogue to the classical p-Laplacian situation, namely $C^{s+α}$-regularity for the loc homogeneous equation.
fractional gradient, fractional p-Laplacian
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  title={Regularity for a fractional $p$-Laplace equation},
  author={Daniel Spector, Armin Schikorra, and Tien-Tsan Shieh},
  booktitle={Communications in Contemporary Mathematics},
Daniel Spector, Armin Schikorra, and Tien-Tsan Shieh. Regularity for a fractional $p$-Laplace equation. In Communications in Contemporary Mathematics.
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