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20122026
most citedA positivity preserving property result for the biharmonic operator under partially hinged boundary conditions

2 citations · 3 across the 8 of their papers we have counts for

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math.AP2026

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…

math.AP2026

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…