Geodesic
Existence of solutions to nonlocal elliptic equations with discontinuous terms
Electronic journal of differential equations, Tome 2012 (2012)
Zbl
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 
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/
@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/}
}
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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/
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%A Nascimento,  Rubia G.
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