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20152026
most citedA density problem for Sobolev spaces on planar domains

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math.DG2026

Sharp stability of Alexandrov's theorem for domains in the small-excess regime

Alessio Figalli, Yi Ru-Ya Zhang

We prove a sharp quantitative stability result for Alexandrov's theorem in arbitrary dimension for bounded open sets in a small-excess regime. More precisely, if $E\subset \m…