Global weak solution in a p-Laplacian Keller–Segel system with nonlinear sensitivity and saturation effect

This paper deals with a p-Laplacian Keller–Segel chemotaxis system with nonlinear sensitivity and saturation effect under homogeneous Neumann boundary conditions in a smooth bounded domain. Under some suitable assumptions on these parameters and the initial data, we derive the uniform-in-time boundedness of global weak solutions for the system.