16 citations · 33 across the 12 of their papers we have counts for
15 papers
Quantitative Kröger inequalities for Neumann eigenvalues of convex domains
Dorin Bucur, Andrea Gentile, Antoine Henrot
Refining the sharp upper bounds obtained by Kröger (1999) for the -th Neumann eigenvalue of a convex domain , we prove the following inequali…
Some optimal control and shape optimisation problems for bulk-surface cooperative systems
Andrea Gentile, Idriss Mazari-Fouquer, Raphaël Prunier
The goal of this paper is to address some optimal control and shape optimisation problems arising from bulk-surface cooperative systems. The basic model under consideration is the…
On the gradient rearrangement of functions
Vincenzo Amato, Andrea Gentile, Carlo Nitsch +1
In this paper, we introduce a symmetrization technique for the gradient of a $\BV$ function, which separates its absolutely continuous part from its singular part (sum of the jump…
Higher regularity for weak solutions to degenerate parabolic problems
Andrea Gentile, Antonia Passarelli di Napoli
In this paper, we study the regularity of weak solutions to the following strongly degenerate parabolic equation \begin{equation*} u_t-÷\left(\left(\left|Du\right|-1\right)_+^{p-1}…
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\…
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…
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…
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…
Regularity results for solutions to obstacle problems with Sobolev coeffcients
Michele Caselli, Andrea Gentile, Raffaella Giova
We establish the higher differentiability of solutions to a class of obstacle problems for integral functionals where the convex integrand f satisfies p-growth conditions with resp…
Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth
Andrea Gentile
We consider a class of integral functionals with convex integrand with respect to the gradient variable, assuming that the function that measures the oscillation of the integrand w…
Regularity for minimizers of non-autonomous non-quadratic functionals in the case 1 < p < 2: an a priori estimate
Andrea Gentile
We prove an a priori estimate for the second derivatives of local minimizers of integral functionals of calculus of variation with convex integrand with respect to the gradient var…