Global Solvability and Decay Properties for a $p$-Laplacian Diffusive Keller-Segel Model
Global Solvability and Decay Properties for a $p$-Laplacian Diffusive Keller-Segel Model
In this paper, we consider the global well-posedness of solutions to a parabolic-parabolic Keller-Segel model with p-Laplace diffusion.We first establish a critical exponent p * = 3N/(N +1) and prove that when p > p * , the solution exists globally for arbitrary large initial value.When 1< p ≤ p …