Regularity for a fractional p-Laplace equation
Analysis of PDEs
2016-10-25 v1
Abstract
In this note we consider regularity theory for a fractional -Laplace operator which arises in the complex interpolation of the Sobolev spaces, the -Laplacian. We obtain the natural analogue to the classical -Laplacian situation, namely -regularity for the homogeneous equation.
Cite
@article{arxiv.1608.07349,
title = {Regularity for a fractional p-Laplace equation},
author = {Armin Schikorra and Tien-Tsan Shieh and Daniel Spector},
journal= {arXiv preprint arXiv:1608.07349},
year = {2016}
}