The Wikipedia post on "Symmetric decreasing rearrangements" says that "The Pólya–Szegő inequality yields, in the limit case, with $p=1$, the isoperimetric inequality". I tried to search the proof over internet but I couldn't find it. Anyone please provide a proof or a reference.
2026-03-25 17:18:41.1774459121
Isoperimetric inequality using rearrangements
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Theorem 4.10 in the book Symmetrization in Analysis by ALBERT BAERNSTEIN book