Francesco Della Pietra

collaborators

2 papers

math.AP2026

Maximization of the efficiency of the first Dirichlet eigenfunction and improved eigenvalue inequalities

We study the efficiency of the first Dirichlet eigenfunction $u$ on bounded convex domains $Ω \subset R^{N}$ , defined as the ratio between the mean value of $u$ on $Ω$ and it…

math.AP2025

Weighted Robin eigenvalue problems and nonlinear elliptic equations with general growth in the gradient

Francesco Della Pietra, Giuseppina di Blasio, Giuseppe Riey

We prove an existence result for Robin boundary value problems modeled on \[ \begin{cases} Δu + |\nabla u|^2 + λf(x) = 0 & \text{in } Ω \\ \frac{\partial u}{\partial ν} + βu = 0 &…