$C^{1+α}$ regularity for fractional $p$-harmonic functions
Davide Giovagnoli, David Jesus, Luis Silvestre
公開日: 2025/9/30
Abstract
We establish interior $C^{1,\alpha}$ regularity estimates for some $\alpha > 0$, for solutions of the fractional $p$-Laplace equation $(-\Delta_p)^s u = 0$ when $p$ is in the range $p \in [2,2/(1-s))$.