%0 Journal Article
%T Existence of solutions for the p-Laplacian involving a Radon measure
%A Nedra Belhaj Rhouma
%A Wahid Sayeb
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X 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.
%K Dirichlet problem
%K p-Laplacian
%K genus function
%K eigenfunction
%K nonlinear eigenvalue problem
%K Palais-Smale condition
%K mountain-pass theorem
%K critical point
%U http://ejde.math.txstate.edu/Volumes/2012/35/abstr.html