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
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