A., Jaiswal, AnjaliJaiswal, AnjaliA.P., Rani, PoonamRani, PoonamP.J., Tyagi, JagmohanTyagi, JagmohanJ.2025-09-012025-09-011531349210.3934/DCDSB.20230022-s2.0-85156191222https://www.scopus.com/inward/record.uri?eid=2-s2.0-85156191222&doi=10.3934%2FDCDSB.2023002&partnerID=40&md5=b6b3691f4098d0cb58da8839977a679bhttps://d8.irins.org/handle/IITG2025/29389We consider the following Keller-Segel system with gradient dependent chemotactic coefficient: {u<inf>t</inf> = ?u ? ?? � (uf(|?v|)?v), 0 = ?v ? v + g(u), in smooth bounded domains ? ? Rn, n ? 1 with f(?) = (?p?2(1+?p)q? p/p), 1 < q ? p < ? and g(?) = ?/(1+?<inf>)</inf>1-?, ? ? 0, ? ? [0, 1]. We show the existence of a global weak solution, bounded in L?-norm, if 1 < q ? p {< ?, n = 1, 1 < q < <inf>n?</inf>n<inf>1</inf> , n ? 2. � 2023 Elsevier B.V., All rights reserved.EnglishArticlehttps://www.aimsciences.org/data/article/export-pdf?id=63dba15f82ad77137d15c688https://v2.sherpa.ac.uk/id/publication/995920239