Existence and nonexistence results for quasilinear elliptic equations involving the p-Laplacian with a critical potential

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Semi-stable and extremal solutions of reaction equations involving the $p$-Laplacian (2006, unknown): “2 in [1] we have −∆pV = −∆pΦ(U) ≥ Φ(U)(−∆pU) = (1 − ε)λf(V ) in the weak sense.”
The critical hyperbola for a Hamiltonian elliptic system with weights (2008, background): “Results of existence, nonexistence and multiplicity for elliptic equations involving weights could be found, among other papers, in [1], [2], [3], [4], [5], [9], [10], [25] and [27].”
Optimal results for the fractional heat equation involving the Hardy potential (2014, methodology): “Next we formulate an extension of a well-known Picone identity, that in the case of regular functions and the Laplacian operator was obtained by Picone in [32] (see [2] for an integral extension related to positive Radon measures).”
The effect of the Hardy potential in some Calder\'on-Zygmund properties for the fractional Laplacian (2015, background): “An integral extension involving positive Radon measures of a well-known punctual inequality by Picone (see [29]) was obtained in [6] in the local framework.”