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arXiv · 2203.13082

Hölder regularity for fractional $p$-Laplace equations

Karthik Adimurthi·Harsh Prasad·Vivek Tewary
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Abstract

We give an alternative proof for Hölder regularity for weak solutions of nonlocal elliptic quasilinear equations modelled on the fractional p-Laplacian where we replace the discrete De Giorgi iteration on a sequence of concentric balls by a continuous iteration. This work can be viewed as the nonlocal counterpart to the ideas developed by Tiziano Granucci.

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Karthik Adimurthi, Harsh Prasad, Vivek Tewary. 2022-10-21. Hölder regularity for fractional $p$-Laplace equations. https://arxiv.org/abs/2203.13082

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