Boundedness of solutions to parabolic–elliptic Keller–Segel systems with signal‐dependent sensitivity

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Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility (2021, background): “Later, in [20], globally bounded classical solutions are obtained for χ < 2/N if N ≥ 2.”
A new approach toward boundedness in a two‐dimensional parabolic chemotaxis system with singular sensitivity (2015, background): “In [15], global existence and boundedness of classical solutions to the parabolic-elliptic counterpart of Equation (1) are obtained for even more singular sensitivities of the form 0 < S.”