The aggregation-diffusion equation with energy critical exponent
The aggregation-diffusion equation with energy critical exponent
We consider a Keller-Segel model with non-linear porous medium type diffusion and nonlocal attractive power law interaction, focusing on potentials that are less singular than Newtonian interaction. Here, the nonlinear diffusion is chosen to be $ m = \frac{2d}{d+2s} $ in such a way that the associated free energy is …