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Preprints, Working Papers, ... Year : 2022

A remark on an inequality by Bianchi and Egnell

Abstract

A quantitative version of the Bianchi-Egnell inequality concerning the stability of the Sobolev inequality is proved for non-negative functions. For the proof we study a flow that interpolates continuously between a function and its symmetric decreasing rearrangement.
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Dates and versions

hal-03780031 , version 1 (18-09-2022)
hal-03780031 , version 2 (11-10-2022)
hal-03780031 , version 3 (29-12-2022)
hal-03780031 , version 4 (21-07-2023)

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Cite

Jean Dolbeault, Maria J. Esteban, Rupert L Frank, Michael Loss. A remark on an inequality by Bianchi and Egnell. 2022. ⟨hal-03780031v1⟩
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