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Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals
Published 29 Nov 2023 in math.AP | (2311.17818v1)
Abstract: We study the perimeter inequality under circular symmetrisation, and we provide a full geometric characterisation of equality cases. A careful inspection of the proof shows that a similar characterisation holds true also for the perimeter inequality under Steiner symmetrisation. Our result is based on a new short proof of the perimeter inequality under symmetrisation.
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