169 citations · 182 across the 16 of their papers we have counts for
17 papers · 1 filter
Essential spectrum for the Laplacian
Lorenzo Brasco, Luca Briani, Giovanni Franzina
We introduce a variational notion of essential spectrum for the Dirichlet Laplacian. We then extend the classical Persson Theorem to this nonlinear setting. This result provide…
Numerical computation of generalized Wasserstein distances with applications to traffic model analysis
Maya Briani, Emiliano Cristiani, Giovanni Franzina +1
Generalized Wasserstein distances allow to quantitatively compare two continuous or atomic mass distributions with equal or different total mass. In this paper, we propose four num…
Boundary vorticity of incompressible 2D flows
Giovanni Franzina
For a homogeneous incompressible 2D fluid confined within a bounded Lipschitz simply connected domain, homogeneous Neumann pressure boundary conditions are equivalent to a constant…
An overdetermined problem in 2D linearised hydrostatics
Giovanni Franzina
In two spatial dimensions, we discuss the relation between the solvability of Schiffer's overdetermined problem and the optimality, among sets of prescribed area, of the first eige…
Large time behavior of fractional porous media equation
Giovanni Franzina, Bruno Volzone
Following the methodology of [Brasco and Volzone, Adv. Math. 2022], we study the long-time behavior for the signed Fractional Porous Medium Equation in open bounded sets with smoot…
A non-local semilinear eigenvalue problem
Giovanni Franzina, Danilo Licheri
For a non-local semilinear eigenvalue problem, we prove simplicity and isolation of the first eigenvalue with homogeneous Dirichlet boundary conditions on open sets supporting a su…