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arXiv · 1711.09835

Higher H\"older regularity for the fractional $p-$Laplacian in the superquadratic case

Lorenzo Brasco·Erik Lindgren·Armin Schikorra
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Abstract

We prove higher H\"older regularity for solutions of equations involving the fractional $p-$Laplacian of order $s$, when $p\ge 2$ and $0 N/(s\,p)$, which is almost sharp whenever $s\,p\leq (p-1)+N/q$. The result is new already for the homogeneous equation.

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Lorenzo Brasco, Erik Lindgren, Armin Schikorra. 2017-11-27. Higher H\"older regularity for the fractional $p-$Laplacian in the superquadratic case. https://arxiv.org/abs/1711.09835

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