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math.AP2026
Optimal data-driven solutions for a stationary diffusive model of population growth
Laura Baldelli, Paolo Malanchini, Wolfgang Reichel
We study optimal data-driven solutions for the stationary diffusive population growth model in a bounded domain with Neumann boundary conditions.…
math.AP2026
On a class of critical Schrödinger-Poisson systems involving the (p,q)-Laplacian
Laura Baldelli, Roberta Filippucci
This paper investigates a class of Schrödinger-Poisson systems in featuring the (p,q)-Laplacian operator and a combination of critical and subcritical nonlinearities…
math.AP2026
A blow-up approach for a priori bounds in semilinear planar elliptic systems: the Brezis-Merle critical case
Laura Baldelli, Gabriele Mancini, Giulio Romani
We establish uniform a priori estimates for solutions of semilinear planar Hamiltonian elliptic systems in a ball with Dirichlet boundary conditions. We consider a broad class of c…