40 citations · 74 across the 24 of their papers we have counts for
27 papers
Optimization of the total tumor population under Gompertz growth
Iulia Martina Bulai, Francesca Gladiali, Benedetta Pellacci
We study optimal control problems for a stationary reaction--diffusion model describing the spatial distribution of a tumor cell population with Gompertz growth. The control …
Sign-changing solutions to the Yamabe problem on a spherical cap
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Spherical caps play a crucial role in establishing a criterion for the existence of solutions to the Yamabe problem on a compact Riemannian manifold with boundary, similar to the r…
Sign-changing solutions to the Yamabe problem on manifolds with boundary
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Let be a compact Riemannian manifold with boundary. The Yamabe problem concerning the existence of a metric conformally equivalent to having constant scalar curvature…
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…
Partially concentrating standing waves for weakly coupled Schrödinger systems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira +1
We study the existence of standing waves for the following weakly coupled system of two Schrödinger equations in , , \[ \begin{cases} i \hslash \partial_{t}ψ_{…
Spectral optimization for weighted anisotropic problems with Robin conditions
Benedetta Pellacci, Giovanni Pisante, Delia Schiera
We study a weighted eigenvalue problem with anisotropic diffusion in bounded Lipschitz domains , , under Robin boundary conditions, proving the exi…