2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154114For the BCS equation with local two-body interaction $λV(x)$, we give a rigorous analysis of the asymptotic behavior of the critical temperature as $λ\to 0$. We derive necessary and sufficient conditions on $V(x)$ for the existence of a non-trivial solution for all values of $λ>0$.Revised Version. To appear in J. Geom. AnalSuperconductivityOther Condensed MatterMathematical Physicstext