25 citations · 95 across the 28 of their papers we have counts for
31 papers
The fractional Porous Medium Equation on graphs
Elvise Berchio, Federico Santagati, Maria Vallarino
We study the fractional porous medium equation on connected infinite graphs with no local finiteness assumption. We introduce a notion of weak dual solution adapted to the discrete…
Semilinear Diffusion Equations on Infinite Graphs: The Dissipative and Lipschitz Cases
Elvise Berchio, Davide Bianchi, Alberto G. Setti +1
We study a class of semilinear diffusion equations on infinite, connected, weighted graphs, focusing on two types of nonlinearities: monotone decreasing and Lipschitz continuous. U…
Some obstacle problems for partially hinged plates and related optimization issues
Elvise Berchio, Filomena Feo, Antonio Giuseppe Grimaldi
We study optimization problems for partially hinged rectangular plates, modeling bridge roadways, in the presence of real and artificial obstacles. Real obstacles represent structu…
Weighted Hardy-Rellich inequalities via the Emden-Fowler transform
Elvise Berchio, Paolo Caldiroli
We exploit a technique based on the Emden-Fowler transform to prove optimal Hardy-Rellich inequalities on cones, including the punctured space $\mathb{R}^N\setminus\{0\}$ and the h…
Smoothing effects and extinction in finite time for fractional fast diffusions on Riemannian manifolds
Elvise Berchio, Matteo Bonforte, Gabriele Grillo
We study nonnegative solutions to the Cauchy problem for the Fractional Fast Diffusion Equation on a suitable class of connected, noncompact Riemannian manifolds. This parabolic eq…
Classification of radial solutions to on Riemannian models
Elvise Berchio, Alberto Ferrero, Debdip Ganguly +1
We provide a complete classification with respect to asymptotic behaviour, stability and intersections properties of radial smooth solutions to the equation on Riemann…