TY - JOUR
T1 - Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
AU - Brezis, Haïm
AU - Van Schaftingen, Jean
AU - Yung, Po Lam
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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 - http://www.scopus.com/inward/record.url?scp=85108895674&partnerID=8YFLogxK
U2 - 10.1007/s00526-021-02001-w
DO - 10.1007/s00526-021-02001-w
M3 - Article
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 -