We establish interior C1,α regularity estimates for some α>0, for solutions of the fractional p-Laplace equation (−Δp)su=0 when p is in the range p∈[2,2/(1−s)).
@article{arxiv.2509.26565,
title = {$C^{1+\alpha}$ regularity for fractional $p$-harmonic functions},
author = {Davide Giovagnoli and David Jesus and Luis Silvestre},
journal= {arXiv preprint arXiv:2509.26565},
year = {2025}
}