2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 1-8.

On the L-infinity regularity of solutions of nonlinear elliptic equations in Orlicz spaces

Lahsen Aharouch, Elhoussine Azroul & Abdelmoujib Benkirane

Abstract:
Our main result is a maximum principle bounding the absolute values of the solution in terms of the supremum of the absolute values of the boundary data.

Published December 28, 2002.
Subject classfications: 35J60.
Key words: Orlicz Sobolev spaces, boundary-value problems.

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Lahsen Aharouch
Departement de Mathematiques et Informatique,
Faculte des Sciences Dhar-Mahraz,
B.P. 1796 Atlas, Fes, Maroc.
e-mail: lahrouche@caramail.com
Elhoussine Azroul
Departement de Mathematiques et Informatique,
Faculte des Sciences Dhar-Mahraz,
B.P. 1796 Atlas, Fes, Maroc.
e-mail: elazroul@caramail.com
Abdelmoujib Benkirane
Departement de Mathematiques et Informatique,
Faculte des Sciences Dhar-Mahraz,
B.P. 1796 Atlas, Fes, Maroc.
e-mail: abdelmoujib@iam.net.ma

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