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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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.

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