Removable Sets for Hölder Continuous p(x)-Harmonic Functions

A. Lyaghfouri

We establish that a closed set $E$ is removable for $C^{0,\alpha }$ Hölder continuous $p(x)$-harmonic functions in a bounded open domain $\Omega$ of ${\mathbb{R}}^n$, $n\ge 2$, provided that f…