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

Haïm Brezis; Jean Van Schaftingen; Po Lam Yung

doi:10.1007/s00526-021-02001-w

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

Haïm Brezis
, Jean Van Schaftingen
, Po Lam Yung

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

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 L^p norms are replaced by Lorentz norms.

Original language	English (US)
Article number	129
Journal	Calculus of Variations and Partial Differential Equations
Volume	60
Issue number	4
DOIs	https://doi.org/10.1007/s00526-021-02001-w
State	Published - Aug 2021

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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

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.",

author = "Ha{\"i}m Brezis and \{Van Schaftingen\}, Jean and Yung, \{Po Lam\}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

month = aug,

doi = "10.1007/s00526-021-02001-w",

language = "English (US)",

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T1 - Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

AU - Brezis, Haïm

AU - Van Schaftingen, Jean

AU - Yung, Po Lam

PY - 2021/8

Y1 - 2021/8

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85108895674

UR - https://www.scopus.com/pages/publications/85108895674#tab=citedBy

U2 - 10.1007/s00526-021-02001-w

DO - 10.1007/s00526-021-02001-w

M3 - Article

AN - SCOPUS:85108895674

SN - 0944-2669

VL - 60

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 4

M1 - 129

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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