175 citations · 580 across the 34 of their papers we have counts for
4 papers · 2 filters
Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method
Matteo Bonforte, Jean Dolbeault, Bruno Nazaret +1
The purpose of this work is to establish a quantitative and constructive stability result for a class of subcritical Gagliardo-Nirenberg-Sobolev inequalities which interpolates bet…
Stability in Gagliardo-Nirenberg inequalities - Supplementary material
Matteo Bonforte, Jean Dolbeault, Bruno Nazaret +1
This document comes as supplementary material of the paper Stability in Gagliardo-Nirenberg inequalities by the same authors. It is intended to state a number of classical or eleme…
The Fractional Porous Medium Equation on the hyperbolic space
Elvise Berchio, Matteo Bonforte, Debdip Ganguly +1
We consider the nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driven by the (spectral) fractional Laplacian on the hyperbolic space. We provide…
Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights
Matteo Bonforte, Nikita Simonov
We investigate fine global properties of nonnegative, integrable solutions to the Cauchy problem for the Fast Diffusion Equation with weights (WFDE) $u_t=|x|^γ\mathrm{div}\left(|x|…