23 citations · 59 across the 19 of their papers we have counts for
20 papers
Boundedness, Ultracontractive Bounds and Optimal Evolution of the Support for Doubly Nonlinear Anisotropic Diffusion
Simone Ciani, Vincenzo Vespri, Matias Vestberg
We investigate some regularity properties of a class of doubly nonlinear anisotropic evolution equations whose model case is \begin{align*} \partial_t \big(|u|^{α-1}u \big) - \sum^…
A clustering theorem in fractional Sobolev spaces
Fatma Gamza Düzgün, Antonio Iannizzotto, Vincenzo Vespri
We prove a general clustering result for the fractional Sobolev space : whenever the positivity set of a function in a square has measure bounded from below by a multi…
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…
A note on the point-wise behaviour of bounded solutions for a non-standard elliptic operator
Laura Baldelli, Simone Ciani, Igor I. Skrypnik +1
In this brief note we discuss local Hölder continuity for solutions to anisotropic elliptic equations of the type $ \sum_{i=1}^s \partial_{ii} u+ \sum_{i=s+1}^N \partial_i \bigg(A_…
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…
On the Local Behavior of Local Weak Solutions to some Singular Anisotropic Elliptic Equations
Simone Ciani, Igor I. Skrypnik, Vincenzo Vespri
We study the local behavior of bounded local weak solutions to a class of anisotropic singular equations that involves both non-degenerate and singular operators. Throughout a para…