2 papers
math.AP2022
Nonlinear aggregation-diffusion equations with Riesz potentials
Yanghong Huang, Edoardo Mainini, Juan Luis Vázquez +1
We consider an aggregation-diffusion model, where the diffusion is nonlinear of porous medium type and the aggregation is governed by the Riesz potential of order s. The addition o…
math.AP2015
The Dirichlet Problem for the fractional p-Laplacian evolution equation
Juan Luis Vázquez
We consider a model of fractional diffusion involving the natural nonlocal version of the -Laplacian operator. We study the Dirichlet problem posed in a bounded domain of ${…