Remarks on the solvability of an elliptic equation with a supercritical term involving the Hardy–Leray potential

We discuss in this work the regularizing effect of terms of zero and first order on the supercritical problem (1), involving the Hardy–Leray potential. In fact in the case of the pole inside the domain, by adding a suitable first order term we pass from non-local existence in problem (1) to existence with breaking of resonance in problem (3). If 0 ∈ ∂ Ω we regularize it with a sublinear term.