Blow-up and boundedness in a chemotaxis system with flux limitation and nonlinear diffusion

This paper deals with the following chemotaxis system with gradient-dependent flux limitation and nonlinear diffusion [Formula: see text] under homogeneous Neumann boundary conditions in a smoothly bounded domain [Formula: see text] [Formula: see text], where [Formula: see text], [Formula: see text], [Formula: see text] generalizes the prototype given by [Formula: see text] for all [Formula: see text] with [Formula: see text], [Formula: see text]. It is shown that the corresponding initial-bound