Removable Singularities for Nonlocal Minimal Graphs

초록

We prove the removable singularity theorem for nonlocal minimal graphs. Specifically, we show that any nonlocal minimal graph in Omega\K, where Omega subset of Rn is an open set and K subset of Omega is a compact set of (s, 1)-capacity zero, is indeed a nonlocal minimal graph in all of Omega.

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