F. Cuccu

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20192024

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math.AP2024

Maximization and minimization of the principal eigenvalue of the Laplacian with indefinite weight under Dirichlet and Robin boundary conditions on classes of rearrangements

Claudia Anedda, Fabrizio Cuccu

Let $Ω \subset R^{N}$ , $N \geq 1$ , be a bounded connected open set. We consider the weighted eigenvalue problem $- Δ u = λm u$ in $Ω$ with $λ \in R$ , $m \in L^{\infty} (Ω)$ an…

math.AP2020

Optimal location of resources and Steiner symmetry in a population dynamics model in heterogeneous environments

Claudia Anedda, Fabrizio Cuccu

The subject of this paper is inspired by \cite{CC} and \cite{CCP}. In \cite{CC} the authors investigate the dynamics of a population in a heterogeneous environment by means of diff…

math.AP2019

Minimization and Steiner symmetry of the first eigenvalue for a fractional eigenvalue problem with indefinite weight

Claudia Anedda, Fabrizio Cuccu, Silvia Frassu

Let $Ω \subset R^{N}$ , $N \geq 2$ , be an open bounded connected set. We consider the fractional weighted eigenvalue problem $(- Δ)^{s} u = λ ρ u$ in $Ω$ with homogeneous Dirichlet bo…