Ahmed Youssfi
Abstract:
We prove the existence of bounded solutions for the
nonlinear elliptic problem
with
,
where
and
is a continuous monotone
decreasing function with unbounded primitive.
As regards the
-function
, no
-condition
is needed.
Submitted December 11, 2006. Published April 10, 2007.
Math Subject Classifications: 46E30, 35J70, 35J60.
Key Words: Orlicz-Sobolev spaces; degenerate coercivity;
L-infity-estimates; rearrangements.
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Ahmed Youssfi Department of Mathematics and Informatics Faculty of Sciences Dhar El Mahraz University Sidi Mohammed Ben Abdallah PB 1796 Fez-Atlas, Fez, Morocco email: Ahmed.youssfi@caramail.com |
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