Geodesic
Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces
Electronic journal of differential equations, Tome 2007 (2007)
We prove the existence of bounded solutions for the nonlinear elliptic problem

$ -\hbox{\rm div}a(x,u,{\nabla}u)=f \quad\hbox{in }{\Omega}, $

with

$ a(x,s,\xi)\cdot\xi\geq {\overline M}^{-1}M(h(|s|))M(|\xi|), $

and $h:{\mathbb{R}^+}{\to }{]0,1]}$ is a continuous monotone decreasing function with unbounded primitive. As regards the $N$-function $M$, no $\Delta_2$-condition is needed.
Classification : 46E30, 35J70, 35J60
Keywords: Orlicz-Sobolev spaces, degenerate coercivity, L-infity-estimates, rearrangements 
@article{EJDE_2007__2007__a290,
     author = {Youssfi,  Ahmed},
     title = {Existence of bounded solutions for nonlinear degenerate elliptic equations in {Orlicz} spaces},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1189.35097},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a290/}
}
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AU  - Youssfi,  Ahmed
TI  - Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces
JO  - Electronic journal of differential equations
PY  - 2007
VL  - 2007
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%0 Journal Article
%A Youssfi,  Ahmed
%T Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces
%J Electronic journal of differential equations
%D 2007
%V 2007
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a290/
%G en
%F EJDE_2007__2007__a290
Youssfi,  Ahmed. Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a290/