Geodesic
Existence of solutions for the \(p\)-Laplacian involving a Radon measure
Electronic journal of differential equations, Tome 2012 (2012)
In this article we study the existence of solutions to eigenvalue problem

$\displaylines{ -\hbox{div} (|\nabla u|^{p-2}\nabla u)-\lambda |u|^{p-2}u\mu=f \quad \hbox{in }\Omega,\cr u=0\quad\hbox{on }\partial\Omega }$

where $\Omega$ is a bounded domain in $\mathbb{R}^{N}$ and $\mu$ is a nonnegative Radon measure.
Classification : 34B15, 34B18, 35A01, 35A02
Keywords: Dirichlet problem, p-Laplacian, genus function, eigenfunction, nonlinear eigenvalue problem, palais-Smale condition, mountain-pass theorem, critical point 
@article{EJDE_2012__2012__a88,
     author = {Belhaj Rhouma,  Nedra and Sayeb,  Wahid},
     title = {Existence of solutions for the {\(p\)-Laplacian} involving a {Radon} measure},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1238.35167},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a88/}
}
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Belhaj Rhouma,  Nedra; Sayeb,  Wahid. Existence of solutions for the \(p\)-Laplacian involving a Radon measure. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a88/