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20162025
most citedNonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds

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math.AP2017

Porous medium equations on manifolds with critical negative curvature: unbounded initial data

Matteo Muratori, Fabio Punzo

We investigate existence and uniqueness of solutions of the Cauchy problem for the porous medium equation on a class of Cartan-Hadamard manifolds. We suppose that the radial Ricci…