1 citations · 2 across the 13 of their papers we have counts for
14 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 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…
Some obstacle problems for partially hinged plates and related optimization issues
Elvise Berchio, Filomena Feo, Antonio Giuseppe Grimaldi
We study optimization problems for partially hinged rectangular plates, modeling bridge roadways, in the presence of real and artificial obstacles. Real obstacles represent structu…
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-…
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)-…
Gradient regularity for a class of elliptic obstacle problems
Raffaella Giova, Antonio Giuseppe Grimaldi, Andrea Torricelli
We prove some regularity results for a priori bounded local minimizers of non-autonomous integral functionals of the form under the constraint…
Regularity for minimizers of scalar integral functionals
Antonio Giuseppe Grimaldi, Elvira Mascolo, Antonia Passarelli di Napoli
We prove the local Lipschitz regularity of the local minimizers of scalar integral functionals of the form \begin{equation*} \mathcal{F}(v;Ω)= \int_Ω f (x, Dv) dx \end{equation*} u…
Regularity results for Hölder minimizers to functionals with non-standard growth
Antonio Giuseppe Grimaldi, Erica Ipocoana
We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying -growth conditions, under Besov assumptions on the coefficients.…
On the second-order regularity of solutions to widely singular or degenerate elliptic equations
Pasquale Ambrosio, Antonio Giuseppe Grimaldi, Antonia Passarelli di Napoli
We consider local weak solutions to PDEs of the type \[ -\,\mathrm{div}\left((\vert Du\vert-λ)_{+}^{p-1}\frac{Du}{\vert Du\vert}\right)=f\,\,\,\,\,\,\,\text{in}\,\,Ω, \] where $1<p…
Higher regularity for minimizers of very degenerate convex integrals
Antonio Giuseppe Grimaldi
In this paper, we consider minimizers of integral functionals of the type \begin{equation*} \mathcal{F}(u):= \int_Ω\dfrac{1}{p} \bigl( |Du(x)|_{γ(x)}-1\bigr)_+^p \ \mathrm{d}x, \en…
Higher differentiability for bounded solutions to a class of obstacle problems with -growth
Antonio Giuseppe Grimaldi
We establish the higher fractional differentiability of bounded minimizers to a class of obstacle problems with non-standard growth conditions of the form \begin{gather*} \min \big…
A local boundedness result for a class of obstacle problems with non-standard growth conditions
Mariapia De Rosa, Antonio Giuseppe Grimaldi
We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able to establish the local bounde…
Higher differentiability results in the scale of Besov spaces to a class of double-phase obstacle problems
Antonio Giuseppe Grimaldi, Erica Ipocoana
We study the higher fractional differentiability properties of the gradient of the solutions to variational obstacle problems of the form \begin{gather*} \min \biggl\{ \int_Ω F(x,w…
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions
Antonio Giuseppe Grimaldi, Erica Ipocoana
We here establish the higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions. We deal with the case in which the solu…