1 citations · 2 across the 6 of their papers we have counts for
7 papers
Almost Lipschitz regularity for solutions of elliptic equations with discontinuous coefficients
Raffaella Giova, Antonio Giuseppe Grimaldi, Stefania Russo
We are interested in the local higher integrability of solutions to elliptic equations with linear growth of the form Under a Besov regularity on the…
Regularity for Minimizers of non Autonomous Singular Functionals with Anisotropic Growth
Albert Clop, Antonia Passarelli di Napoli, Stefania Russo
We establish the higher differentiability of the local minimizers to a class of non autonomous convex integral functionals satisfying anisotropic subquadratic growth conditions, th…
Regularity for minimizers of degenerate, non-autonomous, orthotropic integral functionals
Antonio Giuseppe Grimaldi, Stefania Russo
We prove the higher differentiability of integer order of locally bounded minimizers of integral functionals of the form \begin{equation*} \mathcal{F}(u,Ω):= \,\sum_{i=1}^{n} \dfra…
Weak comparison principle for widely degenerate elliptic equations
Antonio Giuseppe Grimaldi, Stefania Russo
We prove a comparison principle for local weak solutions to a class of widely degenerate elliptic equations of the form \begin{equation} -\text{div} \left( \left(|Du|-1 \right)^{p-…
Higher Differentiability of Minimizers for Non-Autonomous Orthotropic Functionals
Stefania Russo
We establish the higher differentiability for the minimizers of the following non-autonomous integral functionals \begin{equation*} \mathcal{F}(u,Ω):= \, \int_Ω\sum_{i=1}^{n} \, a_…
Regularity results for minimizers of non-autonomous integral functionals
Antonio Giuseppe Grimaldi, Stefania Russo
We establish the higher fractional differentiability for the minimizers of non-autonomous integral functionals of the form \begin{equation} \mathcal{F}(u,Ω):=\int_Ω\left[ f(x,Du)-…
On widely degenerate \textit{p}-Laplace equations with symmetric data
Stefania Russo
In this paper, we consider the Dirichlet problems with a widely degenerate equation. Through a well-known result by Talenti, we explicitly express the gradient of the solution $u_p…