Using a variational technique we guarantee the existence of a solution to the \emph{resonant Lane-Emden} problem $-��_p u=��|u|^{q-2}u$, $u|_{\partial��}=0$ if and only if a solution to $-��_p u=��|u|^{q-2}u+f$, $u|_{\partial��}=0$, $f\in L^{p'}(��)$ ($p'$ being the conjugate of $p$), exists for $q\in (1,p)\bigcup (p,p^{*})$ under a certain condition for both the cases, i.e., $1