Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion

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Depleting the signal: Analysis of chemotaxis‐consumption models—A survey (2023, background): “In domains of dimension n ≥ 4, more restrictive assumptions on D seem necessary to ensure global existence of bounded solutions, see [135], [36], [124] and [123], for instance; the to date mildest assumption on m in (CC3)-(3.”