3 papers
math.AP2026
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 diffe…
math.AP2026
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 l…
math.SP2026
On some functionals involving torsional rigidity, principal eigenvalue and perimeter
Vincenzo Amato, Carlo Nitsch, Cristina Trombetti +1
In this paper we study some relationships between the first Dirichlet eigenvalue and the torsional rigidity of a domain . We consider the problem of optimizing…