Existence of solutions for a problem of resonance road space with weight

In 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 $\mathrm{\Omega }\subset {\text{Rset}}^n$ a bounded domains. In this work we extend your result now considering the domain ${\text{Rset}}^n$. Indeed, the main theorems in this paper constitute an extension to ${\text{Rset}}^n$ of your previous results in bounded domains.