Author

G. Palatucci

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Preprint Oct 2026

A counterexample to the fractional Michael-Simon inequality

We show that the fractional Michael-Simon inequality does not hold for general smooth hypersurfaces and for the range of 0<s<(n-1)/n in the case p=1. We construct a family of smooth hypersurfaces, whose fractional mean curvature is nonnegative everywhere, which violates the inequality in the limit. The same constructio...

V. Julin, G. Palatucci · 0 citations