115 citations · 161 across the 8 of their papers we have counts for
8 papers
Singular boundary behaviour and large solutions for fractional elliptic equations
Nicola Abatangelo, David Gómez-Castro, Juan Luis Vázquez
We show that the boundary behaviour of solutions to nonlocal fractional equations posed in bounded domains strongly differs from the one of solutions to elliptic problems modelled…
Exponential Convergence Towards Stationary States for the 1D Porous Medium Equation with Fractional Pressure
J. A. Carrillo, Y. Huang, M. C. Santos +1
We analyse the asymptotic behaviour of solutions to the one dimensional fractional version of the porous medium equation introduced by Caffarelli and Vázquez, where the pressure is…
Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
The purpose of this paper is to prove local upper and lower bounds for weak solutions of semilinear elliptic equations of the form , with , defined…
Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation
Marek Fila, Juan Luis Vazquez, Michael Winkler +1
We study the asymptotic behaviour of positive solutions of the Cauchy problem for the fast diffusion equation near the extinction time. We find a continuum of rates of convergence…
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
Matteo Bonforte, Jean Dolbeault, Gabriele Grillo +1
The goal of this note is to state the optimal decay rate for solutions of the nonlinear fast diffusion equation and, in self-similar variables, the optimal convergence rates to Bar…
Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation
M. Bonforte, R. G. Iagar, J. L. Vazquez
We study qualitative and quantitative properties of local weak solutions of the fast -Laplacian equation, , with . Our main results are quantitative…