Proves a Pólya-Szegő inequality for circular rearrangement and gives conditions ensuring symmetric extremals.
Cagnetti , Necessary and sufficient conditions for rigidity of P\'olya-Szeg\"o inequality under Schwarz symmetrisation , Nonlinear Differ
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Rigidity for the P\'olya-Szeg\"o inequality under circular rearrangement
Proves a Pólya-Szegő inequality for circular rearrangement and gives conditions ensuring symmetric extremals.