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math.AP2023
Uniqueness for local-nonlocal elliptic equations
Stefano Biagi, Giulia Meglioli, Fabio Punzo
We study mixed local and nonlocal elliptic equation with a variable coefficient . Under suitable assumptions on the behaviour at infinity of , we obtain uniqueness of solutio…
math.AP2023
A Liouville theorem for elliptic equations with a potential on infinite graphs
Stefano Biagi, Giulia Meglioli, Fabio Punzo
We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable assumptions on the graph and on t…