4 citations · 12 across the 10 of their papers we have counts for
11 papers
Sharp stability for the Talenti inequality
Paolo Acampora, Jimmy Lamboley, Idriss Mazari-Fouquer
We prove a sharp quantitative version of the Talenti rearrangement inequality. Specifically, we show that, for any , for any $f\in L^\infty(Ω),\, f\geq 0,\, f\not…
On the buckling eigenvalue of unbounded cylinders
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
We variationally characterize the bottom of the spectrum of the buckling problem in an infinite cylinder , where is an open bounded subset of $\mathbb{…
An improved version of a spectral inequality by Payne
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
A celebrated inequality by Payne relates the first eigenvalue of the Dirichlet Laplacian to the first eigenvalue of the buckling problem. Motivated by the goal of establishing a qu…
Sharp quantitative Talenti's inequality in particular cases
Paolo Acampora, Jimmy Lamboley
In this paper, we focus on the famous Talenti's symmetrization inequality, more precisely its corollary asserting that the -norm of the solution to is hig…
A spectral isoperimetric inequality on the n-sphere for the Robin-Laplacian with negative boundary parameter
Paolo Acampora, Antonio Celentano, Emanuele Cristoforoni +2
For every given , we study the problem of maximizing the first Robin eigenvalue of the Laplacian among convex (not necessarily smooth) sets w…
On the asymptotic behavior of a diffraction problem with a thin layer
Paolo Acampora, Emanuele Cristoforoni
We investigate the behavior of the solution to an elliptic diffraction problem in the union of a smooth set and a thin layer locally described by , where …
Estimates on the Neumann and Steklov principal eigenvalues of collapsing domains
Paolo Acampora, Vincenzo Amato, Emanuele Cristoforoni
We investigate the relationship between the Neumann and Steklov principal eigenvalues emerging from the study of collapsing convex domains in . Such a relationship al…
On the optimal shape of a thin insulating layer
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
We are interested in the thermal insulation of a bounded open set surrounded by a set whose thickness is locally described by , where is a non-negative funct…
An isoperimetric result for an energy related to the -capacity
Paolo Acampora, Emanuele Cristoforoni
In this paper, we generalize the notion of relative -capacity of with respect to , by replacing the Dirichlet boundary condition with a Robin one. We show that, under vol…
A free boundary problem for the p-Laplacian with nonlinear boundary conditions
Paolo Acampora, Emanuele Cristoforoni
We study a nonlinear generalization of a free boundary problem that arises in the context of thermal insulation. We consider two open sets , and we search for an opti…
A free boundary problem in thermal insulation with a prescribed heat source
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
We study the thermal insulation of a bounded body , under a prescribed heat source , via a bulk layer of insulating material. We consider a model of heat…