Jaiswal, AnjaliAnjaliJaiswalRani, PoonamPoonamRaniTyagi, JagmohanJagmohanTyagi2025-08-312025-08-312023-07-0110.3934/DCDSB.20230022-s2.0-85156191222https://d8.irins.org/handle/IITG2025/26742We consider the following Keller-Segel system with gradient dependent chemotactic coefficient: {u<inf>t</inf> = ∆u − χ∇ · (uf(|∇v|)∇v), 0 = ∆v − v + g(u), in smooth bounded domains Ω ⊂ Rⁿ, n ≥ 1 with f(ξ) = (ξ^p−²(1+ξ^p)^{q− p/p}), 1 < q ≤ p < ∞ and g(ξ) = ξ/(1+ξ<inf>)</inf>^1-^β, ξ ≥ 0, β ∈ [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.trueboundedness | Chemotaxis | global existence | quasilinear parabolic equations with p-LaplacianArticlehttps://www.aimsciences.org/data/article/export-pdf?id=63dba15f82ad77137d15c6884144-4166July 20238arJournal9WOS:000926431900001