In this paper, we prove $L^\infty$-regularity for
solutions of some nonlinear elliptic equations with degenerate
coercivity whose prototype is
$$
\left\{\begin{array}{lll}
{\rm-div}({\frac{1}{(1+|u|)^{\theta(p-1)}}}|\nabla u|^{p-2}{\nabla
u})=f&{\rm in}&\Omega, \\
u=0&{\rm on}& \partial{\Omega},
\end{array}
\right.
$$
where $\Omega$ is a bounded open set in ${\rm \mathbb{R}^N}$, $N\geq 2$,
$10.$
@article{1210254830,
author = {Benkirane, A. and Youssfi, A. and Meskine, D.},
title = {Bounded solutions for nonlinear elliptic equations with
degenerate coercivity and data in an $L\log L$},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {15},
number = {1},
year = {2008},
pages = { 369-375},
language = {en},
url = {http://dml.mathdoc.fr/item/1210254830}
}
Benkirane, A.; Youssfi, A.; Meskine, D. Bounded solutions for nonlinear elliptic equations with
degenerate coercivity and data in an $L\log L$. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp. 369-375. http://gdmltest.u-ga.fr/item/1210254830/