Borderline gradient continuity for the normalized $p$-parabolic operator

Murat Akman, Agnid Banerjee, Isidro H. Munive

In this paper, we prove gradient continuity estimates for viscosity solutions to ${\Delta }_p^{N}u-u_t=f$ in terms of the scaling critical $L(n+2,1)$ norm of $f$, where ${\Delta }_p^N$ is th…