4 papers
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…
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…