@article{529923c820ab4256b4dda3c5856c7c82,
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 = "Funding Information: This work was carried out during two visits of J. Van Schaftingen to Rutgers University. He thanks H. Brezis for the invitation and the Department of Mathematics for its hospitality. P-L. Yung was partially supported by a Future Fellowship FT200100399 from the Australian Research Council. H. Brezis is grateful to C. Sbordone who communicated to him the interesting paper [] by Greco and Schiattarella which triggered our work. 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)",
volume = "60",
journal = "Calculus of Variations and Partial Differential Equations",
issn = "0944-2669",
publisher = "Springer New York",
number = "4",
}