Mohamed Badr Benboubker, Elhoussine Azroul, Abdelkrim Barbara
Abstract:
We prove the existence of solutions to Dirichlet problems
associated with the
-quasilinear elliptic equation
These solutions are obtained in Sobolev spaces with
variable exponents.
Submitted November 1, 2010. Published May 11, 2011.
Math Subject Classifications: 35J20, 35J25.
Key Words: Quasilinear elliptic equation;
Sobolev spaces with variable exponent;
image processing; Dirichlet problem.
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Mohamed Badr Benboubker University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P 1796 Atlas Fez, Morocco email: simo.ben@hotmail.com | |
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 | |
Abdelkrim Barbara University of Fez, Faculty of Sciences Dhar El Mahraz Laboratory LAMA, Department of Mathematics B.P 1796 Atlas Fez, Morocco email: abdelkrim.barbara@yahoo.com |
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