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most citedUniqueness in weighted Lebesgue spaces for an elliptic equation with drift on manifolds

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math.FA2018

Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations

Matteo Muratori, Alberto Roncoroni

We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard manifolds under suitable bounds on the sectional and the Ricci curvatures. We p…