23 citations · 59 across the 19 of their papers we have counts for
6 papers · 1 filter
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…
On Holder Continuity and Equivalent Formulation of Intrinsic Harnack Estimates for an Anisotropic Parabolic Degenerate Prototype Equation
Simone Ciani, Vincenzo Vespri
We give a proof of Hölder continuity for bounded local weak solutions to the equation , in , with $Ω\subset \sub…
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…
Remarks on Sobolev-Morrey-Campanato spaces defined on domains
Pier Domenico Lamberti, Vincenzo Vespri
We discuss a few old results concerning embedding theorems for Campanato and Sobolev-Morrey spaces adapting the formulations to the case of domains of class , and we prese…
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…