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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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03780031
Contributor : Jean Dolbeault Connect in order to contact the contributor
Submitted on : Sunday, September 18, 2022 - 10:47:36 PM
Last modification on : Thursday, October 13, 2022 - 3:48:00 AM

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stability.pdf
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  • HAL Id : hal-03780031, version 1
  • ARXIV : 2209.08651

Citation

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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