3 papers
math.AP2024
Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem
Lorenzo Ferreri, Dario Mazzoleni, Benedetta Pellacci +1
We complete the study concerning the minimization of the positive principal eigenvalue associated with a weighted Neumann problem settled in a bounded regular domain $Ω\subset \mat…
math.AP2023
Asymptotic properties of an optimal principal Dirichlet eigenvalue arising in population dynamics
Lorenzo Ferreri, Gianmaria Verzini
We consider a shape optimization problem related to the persistence threshold for a biological species, the unknown shape corresponding to the zone of the habitat which is favorabl…
math.AP2022
Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions
Lorenzo Ferreri, Gianmaria Verzini
We consider a weighted eigenvalue problem for the Dirichlet laplacian in a smooth bounded domain , where the bang-bang weight equals a positive constant $\ov…