Nonexistence of local solutions to semilinear partial differential inequalities

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Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds (2015, background): “1) with (M, g) = (R, gflat), where gflat is the standard flat metric in the Euclidean space, together with its generalization to a wider class of operators of p−Laplace type or related to the porous medium equation, has also been largely studied; without claim of completeness we refer the reader to ”
Semilinear elliptic equations for the fractional Laplacian with Hardy potential (2011, methodology): “Nonexistence result of nonlinear elliptic problems using comparison principles have been obtained in [1], [2] [37], [35], [31], [36], [30] and the references therein.”