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 $\Omega\subset\Rset^n$ 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.