Geodesic
Existence of solutions to nonlocal elliptic equations with discontinuous terms
Electronic journal of differential equations, Tome 2012 (2012)
In this article, we study the existence of nonnegative solutions for the elliptic partial differential equation

$\displaylines{ -[M(\|u\|^{p}_{1,p})]^{1,p}\Delta_{p}u = f(x,u) \quad\hbox{in } \Omega , \cr u = 0 \quad\hbox{on } \partial\Omega , }$

where $\Omega \subset \mathbb{R}^N$ is a bounded smooth domain, $f:\overline{\Omega}\times \mathbb{R}^+\to \mathbb{R}$ is a discontinuous nonlinear function.
Classification : 35A15, 35J40, 34A36
Keywords: variational methods, elliptic problem, discontinuous nonlinearity 
@article{EJDE_2012__2012__a16,
     author = {Correa,  Francisco Julio S.A. and Nascimento,  Rubia G.},
     title = {Existence of solutions to nonlocal elliptic equations with discontinuous terms},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1239.35006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a16/}
}
TY  - JOUR
AU  - Correa,  Francisco Julio S.A.
AU  - Nascimento,  Rubia G.
TI  - Existence of solutions to nonlocal elliptic equations with discontinuous terms
JO  - Electronic journal of differential equations
PY  - 2012
VL  - 2012
UR  - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a16/
LA  - en
ID  - EJDE_2012__2012__a16
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%A Nascimento,  Rubia G.
%T Existence of solutions to nonlocal elliptic equations with discontinuous terms
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a16/
%G en
%F EJDE_2012__2012__a16
Correa,  Francisco Julio S.A.; Nascimento,  Rubia G. Existence of solutions to nonlocal elliptic equations with discontinuous terms. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a16/