Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

Haïm Brezis, Jean Van Schaftingen*, Po Lam Yung

*Corresponding author for this work

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    23 Citations (Scopus)

    Abstract

    In the cases where there is no Sobolev-type or Gagliardo–Nirenberg-type fractional estimate involving |u|Ws,p, we establish alternative estimates where the strong Lp norms are replaced by Lorentz norms.

    Original languageEnglish
    Article number129
    JournalCalculus of Variations and Partial Differential Equations
    Volume60
    Issue number4
    DOIs
    Publication statusPublished - Aug 2021

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