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.