40 citations · 74 across the 24 of their papers we have counts for
26 papers · 1 filter
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…
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…
An upper bound for the least energy of a sign-changing solution to a zero mass problem
Mónica Clapp, Liliane A. Maia, Benedetta Pellacci
We give an upper bound for the least energy of a sign-changing solution to the the nonlinear scalar field equation where $N\geq…