16 citations · 33 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
On the symmetric rearrangement of the gradient of a Sobolev function
Vincenzo Amato, Andrea Gentile
In this paper, we generalize a classical comparison result for solutions to Hamilton-Jacobi equations with Dirichlet boundary conditions, to solutions to Hamilton-Jacobi equations…
Estimates for Robin -Laplacian eigenvalues of convex sets with prescribed perimeter
Vincenzo Amato, Andrea Gentile, Alba Lia Masiello
In this paper, we prove an upper bound for the first Robin eigenvalue of the -Laplacian with a positive boundary parameter and a quantitative version of the reverse Faber-Krahn…
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…
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\…