23 citations · 28 across the 13 of their papers we have counts for
6 papers · 2 filters
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…
Dimensional lower bounds for contact surfaces of Cheeger sets
Marco Caroccia, Simone Ciani
We carry on an analysis of the size of the contact surface of a Cheeger set with the boundary of its ambient space . We show that this size is strongly related to the regula…
Existence of Positive Eigenfunctions to an Anisotropic Elliptic Operator via Sub-Super Solutions Method
Simone Ciani, Giovany M. Figueiredo, Antonio Suàrez
Using the sub-supersolution method we study the existence of positive solutions for the anisotropic problem \begin{equation} -\sum_{i=1}^N\frac{\partial}{\partial x_i}\left( \left|…
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…