Elhoussine Azroul, Hicham Redwane, Chihab Yazough
Abstract:
In this article, we prove the existence of solutions to unilateral
problems involving nonlinear operators of the form:
where
is a Leray Lions operator from
into its dual
and
is the nonlinear term satisfying some growth condition
but no sign condition. The right hand side
belong to
.
Submitted September 19, 2011. Published May 15, 2012.
Math Subject Classifications: 35J60.
Key Words: Entropy solutions; variable exponent; unilateral problem.
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Elhoussine Azroul University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P. 1796 Atlas Fez, Morocco email: azroul_elhoussine@yahoo.fr |
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Hicham Redwane Faculté des Sciences Juridiques, Economiques et Sociales University Hassan 1 B.P. 784, Settat, Morocco email: redwane_hicham@yahoo.fr |
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Chihab Yazough University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P. 1796 Atlas Fez, Morocco email: chihabyazough@gmail.com |
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