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The double spherical cap rearrangement of planar sets
Published 17 Sep 2025 in math.FA | (2509.13889v1)
Abstract: This paper is devoted to the proof of an isoperimetric property of the double spherical cap rearrangement of planar sets under the assumption of disconnection of non-trivial spherical slices. Additionally, the higher-dimensional case is briefly discussed; in particular, an explicit counterexample is given, thus explaining why an analogous result cannot hold.
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