4 citations · 12 across the 12 of their papers we have counts for
13 papers
A unified quantitative approach to Chiti and Kohler--Jobin inequalities
Vincenzo Amato, Luca Barbato, Emanuele Cristoforoni +4
We obtain two quantitative results related to classical rearrangement inequalities for the first Dirichlet eigenvalue. The first one is a quantitative version of Chiti's reverse Hö…
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{…
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation
Emanuele Cristoforoni, Federico Villone
We consider the first eigenvalue, , of a two-phase eigenvalue problem for the Laplacian with Robin boundary conditions, where the two phases are characterised by differen…
On the classical Reinforcement problem and Optimisation
Emanuele Cristoforoni, Carlo Nitsch, Cristina Trombetti
In the present survey, we consider the classical reinforcement problem for elliptic boundary value problems originally studied by Sanchez-Palencia in 1969. We focus on the seminar…
Remarks on the reinforcement of the spectrum of an elliptic problem with Robin boundary condition
Emanuele Cristoforoni, Federico Villone
We investigate the spectral properties of a differential elliptic operator on , where is a smooth domain surrounded by a layer . The thickness of the layer…
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…
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…