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math.AP2025
Rigidity for the heat equation with density on Riemannian manifolds through a conformal change
Alexander Grigor'yan, Giulia Meglioli, Alberto Roncoroni
We investigate uniqueness of solution to the heat equation with a density on complete, non-compact weighted Riemannian manifolds of infinite volume. Our main goal is to identi…
math.AP2025
Rigidity of solutions to singular/degenerate semilinear critical equations
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni
This paper deals with singular/degenerate semilinear critical equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities in , with…