5 citations · 10 across the 4 of their papers we have counts for
4 papers
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…
Continuity in two dimensions for a very degenerate elliptic equation
Filippo Santambrogio, Vincenzo Vespri
An elliptic equation div(F(Du)) = f whose ellipticity strongly degenerates for small values of Du (say, F = 0 on B(0,1)) is considered. The aim is to prove regularity for F(Du). Th…