Existence of solutions for the p-Laplacian involving a Radon measure

In this article we study the existence of solutions to eigenvalue problem $$displaylines{ -hbox{div} (| abla u|^{p-2} abla u)-lambda |u|^{p-2}umu=f quad hbox{in }Omega,cr u=0quadhbox{on }partialOmega }$$ where $Omega$ is a bounded domain in $mathbb{R}^N$ and $mu$ is a nonnegative Radon measure.