5 citations · 10 across the 7 of their papers we have counts for
8 papers · 1 filter
Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term
M. Marras, F. Ragnedda, S. Vernier-Piro +1
In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the Hölder regularity f…
On a particular scaling for the prototype anisotropic p-Laplacian
Simone Ciani, Umberto Guarnotta, Vincenzo Vespri
In this brief note we show that under a volume non-preserving scaling it is possible to recover the basics for a regularity theory regarding local weak solutions to a parabolic ful…
An Introduction to Barenblatt Solutions for Anisotropic -Laplace Equations
Simone Ciani, Vincenzo Vespri
We introduce Fundamental solutions of Barenblatt type for the equation , , on $Σ_T=\ma…
Parabolic Harnack estimates for anisotropic slow diffusion
Simone Ciani, Sunra Mosconi, Vincenzo Vespri
We prove a Harnack inequality for positive solutions of a parabolic equation with slow anisotropic spatial diffusion. After identifying its natural scalings, we reduce the problem…
A new short proof of regularity for local weak solutions for a certain class of singular parabolic equations
Simone Ciani, Vincenzo Vespri
We shall establish the interior Hölder continuity for locally bounded weak solutions to a class of parabolic singular equations whose prototypes are \begin{equation} u_t= \nabla \c…
An extensive study of the regularity properties of solutions to doubly singular equations
Vincenzo Vespri, Matias Vestberg
In recent years, many papers have been devoted to the regularity of doubly nonlinear singular evolution equations. Many of the proofs are unnecessarily complicated, rely on superfl…