4 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 …
Qualitative analysis on the critical points of the Kirchhoff-Routh function
Francesca Gladiali, Massimo Grossi, Peng Luo +1
In this paper, we study the number of critical points of the Kirchhoff-Routh function \begin{equation*} \mathcal{KR}_D(x,y)=Î_1^2\mathcal{R}_D(x)+Î_2^2\mathcal{R}_D(y)-2Î_1Î_2G…
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Francesca Gladiali, Massimo Grossi, Luigi Provenzano
We prove uniqueness and non-degeneracy of the critical point of positive, semi-stable solutions of with Dirichlet boundary conditions for a class of star-shaped domains…
Solutions to general elliptic equations on nearly geodesically convex domains with many critical points
Alberto Enciso, Francesca Gladiali, Massimo Grossi
Consider a complete -dimensional Riemannian manifold , a point and a nonlinearity with . We prove that for any odd integer $N…