Boundary Hölder regularity for the fractional Laplacian over Reifenberg flat domains is claimed for all 0<s<1, but the proof relies on a barrier estimate that contradicts the boundedness of the barrier.
Existence and stability for a non-local isoperimetric mode l of charged liquid drops
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Boundary H\"older regularity for the fractional Laplacian over Reifenberg flat domains via ABP maximum principle
Boundary Hölder regularity for the fractional Laplacian over Reifenberg flat domains is claimed for all 0<s<1, but the proof relies on a barrier estimate that contradicts the boundedness of the barrier.