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

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Date

2021-06-29

Authors

Brezis, Haim
Van Schaftingen, Jean
Yung, Po-Lam

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

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

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Citation

Brezis, H., Van Schaftingen, J. & Yung, PL. Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Calc. Var. 60, 129 (2021). https://doi.org/10.1007/s00526-021-02001-w

URI

http://hdl.handle.net/1885/292095

Collections

ANU Research Publications

Source

Calculus of Variations and Partial Differential Equations

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1007/s00526-021-02001-w

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