Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
| dc.contributor.author | Brezis, Haim | |
| dc.contributor.author | Van Schaftingen, Jean | |
| dc.contributor.author | Yung, Po-Lam | |
| dc.date.accessioned | 2023-05-22T05:03:00Z | |
| dc.date.issued | 2021-06-29 | |
| dc.date.updated | 2022-03-20T07:17:26Z | |
| dc.description.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. | en_AU |
| dc.description.sponsorship | P-L. Yung was partially supported by a Future Fellowship FT200100399 from the Australian Research Council. | en_AU |
| dc.format.mimetype | application/pdf | en_AU |
| dc.identifier.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 | en_AU |
| dc.identifier.issn | 0944-2669 | en_AU |
| dc.identifier.uri | http://hdl.handle.net/1885/292095 | |
| dc.language.iso | en_AU | en_AU |
| dc.provenance | https://v2.sherpa.ac.uk/id/publication/7878..."Author Accepted Manuscript can be made open access on institutional repository after 12 month embargo with respect to publisher guidelines https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms" from SHERPA/RoMEO site (as at 22.5.2023). | |
| dc.publisher | Springer | en_AU |
| dc.relation | http://purl.org/au-research/grants/arc/FT200100399 | en_AU |
| dc.rights | © 2021 The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature | en_AU |
| dc.source | Calculus of Variations and Partial Differential Equations | en_AU |
| dc.title | Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail | en_AU |
| dc.type | Journal article | en_AU |
| dcterms.accessRights | Open Access | |
| dcterms.dateAccepted | 2021-04-27 | |
| local.bibliographicCitation.issue | 4 | en_AU |
| local.bibliographicCitation.lastpage | 12 | en_AU |
| local.bibliographicCitation.startpage | 1 | en_AU |
| local.contributor.affiliation | Brezis, Haim, Rutgers University | en_AU |
| local.contributor.affiliation | Van Schaftingen, Jean, Universite Catholique de Louvain | en_AU |
| local.contributor.affiliation | Yung, Po Lam, College of Science, ANU | en_AU |
| local.contributor.authoruid | Yung, Po Lam, u1091065 | en_AU |
| local.description.notes | Imported from ARIES | en_AU |
| local.identifier.absfor | 490406 - Lie groups, harmonic and Fourier analysis | en_AU |
| local.identifier.absseo | 280118 - Expanding knowledge in the mathematical sciences | en_AU |
| local.identifier.ariespublication | a383154xPUB20035 | en_AU |
| local.identifier.citationvolume | 60 | en_AU |
| local.identifier.doi | 10.1007/s00526-021-02001-w | en_AU |
| local.identifier.scopusID | 2-s2.0-85108895674 | |
| local.publisher.url | https://link.springer.com/ | en_AU |
| local.type.status | Accepted Version | en_AU |
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