activity
20082026
most citedRegularity results for solutions to obstacle problems with Sobolev coeffcients

16 citations · 19 across the 9 of their papers we have counts for

collaborators

10 papers

math.AP2026

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…

math.AP2025

Energy approximation for some double phase functionals

Menita Carozza, Filomena De Filippis, Raffaella Giova +1

In the present manuscript we give a structure condition that allows for energy approximation in the vectorial case and we provide two examples, enjoying such a condition.

math.AP2024

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…

math.AP2022★ 1 cited

Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions

Andrea Gentile, Raffaella Giova

We establish some higher differentiability results for solution to non-autonomous obstacle problems of the form \begin{equation*} \min \left\{\int_Ωf\left(x, Dv(x)\right)dx\,:\, v\…

math.AP2021

Regularity results for bounded solutions to obstacle problems with non-standard growth conditions

Andrea Gentile, Raffaella Giova, Andrea Torricelli

In this paper we consider a class of obstacle problems of the type %\begin{equation*} %\int_Ω\left<A(x, Du), D(φ-u)\right> \, \dx\ge0\qquad\forall %φ\in W^{1,q}(Ω) \quad {\mathrm{s…

math.AP2020★ 1 cited

Elliptic Equations With Degenerate weights

Anna Kh. Balci, Lars Diening, Raffaella Giova +1

We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition…