5 citations · 5 across the 2 of their papers we have counts for
3 papers
math.AP2017
Ground States in the Diffusion-Dominated Regime
José A. Carrillo, Franca Hoffmann, Edoardo Mainini +1
We consider macroscopic descriptions of particles where repulsion is modelled by non-linear power-law diffusion and attraction by a homogeneous singular kernel leading to variants…
math.AP2015
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
Yannick Sire, Juan Luis Vazquez, Bruno Volzone
We develop further the theory of symmetrization of fractional Laplacian operators contained in recent works of two of the authors. The theory leads to optimal estimates in the form…
math.AP2013★ 5 cited
Symmetrization for Linear and Nonlinear Fractional Parabolic Equations of Porous Medium Type
Juan Luis Vázquez, Bruno Volzone
We establish symmetrization results for the solutions of the linear fractional diffusion equation and itselliptic counterpart , $h…