On Nonnegative Solutions of the Inequality Δ u + uσ ≤ 0 on Riemannian Manifolds

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Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds (2015, methodology): “In [18], as well as in [12], [13], [29] and [30], the key assumptions are concerned with the parameters p, q and the behavior of a suitable weighted volume of geodesic balls, with density a negative power of the potential V (x).”