3 papers
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} Îu + |\nabla u|^2 + λf(x) = 0 & \text{in } Ω \\ \frac{\partial u}{\partial ν} + βu =…
math.AP2025
Anisotropic Improved Leray-Trudinger Inequality
Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis
We establish a Leray- Trudinger Type inequality in the anisotropic setting induced by a strongly convex Finsler norm F. The result generalizes classical exponential integrability i…
math.AP2024
Existence and regularity results for a class of non-uniformly elliptic Robin problems
Francesco Della Pietra, Giuseppina di Blasio, Teresa Radice
In this paper, we study the existence and the summability of solutions to a Robin boundary value problem whose prototype is the following: $$ \begin{cases} -\text{div}(b(|u|)\nabla…