Removability of Hölder graphs for continuous sobolev functions

Details Removability of Hölder graphs for continuous sobolev functions Removability of Hölder graphs for continuous sobolev functions

2010-06-10

arxiv.org/abs/1006.2152v1

Mathematics

Classical Analysis and ODEs

11 pages, 1 figure

Scientific paper

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

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