Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source (Q5919746)

The authors improves existing results on the existence of global-in-time classical solutions when a logistic source is applied to prevent the solution's blow-up due to an eventual aggregation in space. The novelty of this paper is that the author uses the Alikakos-Moser iteration approach to ensure the boundedness of solutions (relying \textit{de facto} on the construction of \(L^p\) estimates for any \(p\).)