Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions

Adrien Blanchet, José Antonio Carrillo, Philippe Laurençot

This paper is devoted to the analysis of non-negative solutions for a generalisation of the classical parabolic-elliptic Patlak-Keller-Segel system with $d\ge 3$ and porous medium-l…