# Removability of Hölder graphs for continuous sobolev functions - Mathematics > Classical Analysis and ODEs

Abstract: We characterize the removability of H\-older-$\alpha$ graphs with respect tocontinuous Sobolev $W^{1,2}$ functions. For $\alpha > 2-3$ these graphs areremovable, while for $\alpha <2-3$ there exist graphs which are not removable.

Author: Nicolae Tecu

Source: https://arxiv.org/