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math.AP2021
The generalized porous medium equation on graphs: existence and uniqueness of solutions with data
Davide Bianchi, Alberto G. Setti, Radoslaw K. Wojciechowski
We study solutions of the generalized porous medium equation on infinite graphs. For nonnegative or nonpositive integrable data, we prove the existence and uniqueness of mild solut…
math.AP2020
Qualitative properties of bounded subsolutions of nonlinear PDEs
Davide Bianchi, Stefano Pigola, Alberto G. Setti
We study decay and compact support properties of positive and bounded solutions of on the exterior of a compact set of a complete manifold with rotationally sym…