most citedA new short proof of regularity for local weak solutions for a certain class of singular parabolic equations

3 citations · 3 across the 2 of their papers we have counts for

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3 papers

math.AP2020

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…

math.AP2020

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|…

math.AP2020★ 3 cited

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…