2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229643In this work we use variational methods to show the existence of weak solutions for a nonlinear problem of the type elliptic. This problem was initially study by the authors Ahmad, Lazer and Paul (see \cite{ALP}) considering the space $Ω\subset\Rset^n$ a bounded domains. In this work we extend your result now considering the domain $\Rset^n$. Indeed, the main theorems in this paper constitute an extension to $\Rset^n$ of your previous results in bounded domains.Analysis of PDEs35J20text