activity
20182022
most citedRegularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions

1 citations · 1 across the 4 of their papers we have counts for

collaborators

8 papers

math.AP2022

Isoperimetric estimates for solutions to the p-Laplacian with variable Robin boundary conditions

Vincenzo Amato, Francesco Chiacchio, Andrea Gentile

In this paper we study the -Poisson equation with Robin boundary conditions, where the Robin parameter is a function. By means of some weighted isoperimetric inequalities, we pr…

math.AP2022

Higher differentiability results for solutions to a class of non-homogeneouns elliptic problems under sub-quadratic growth conditions

Albert Clop, Andrea Gentile, Antonia Passarelli di Napoli

We prove a sharp higher differentiability result for local minimizers of functionals of the form $$\mathcal{F}\left(w,Ω\right)=\int_Ω\left[ F\left(x,Dw(x)\right)-f(x)\cdot w(x)\rig…

math.AP20221 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.AP2021

Comparison results for solutions to p-Laplace equations with Robin boundary conditions

Vincenzo Amato, Andrea Gentile, Alba Lia Masiello

In the last decades comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated. In this paper, we generalize the resu…

math.AP2020

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

Andrea Gentile

We establish some higher differentiability results of integer and fractional order for solution to non-autonomous obstacle problems of the form \begin{equation*} \min \left\{\int_Ω…