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math.AP2026
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…
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 differen…
math.AP2025
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…