2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 117-126.

Existence of stable periodic solutions for quasilinear parabolic problems in the presence of well-ordered lower and upper-solutions

Abderrahmane El Hachimi & Abdelilah Lamrani Alaoui

Abstract:
We present existence and stability results for periodic solutions of quasilinear parabolic equation related to Leray-Lions's type operators. To prove existence and localization, we use the penalty method; while for stability we use an approximation scheme.

Published December 28, 2002.
Subject classfications: 35K55, 35B20, 35B40.
Key words: Leray-lions operator, penalization, lower and upper-solutions, monotone process, periodic solutions, stabilization..

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Abderrahmane El Hachimi
UFR Mathematiques Appliquees et Industrielles
Faculte des Sciences
B.P. 20, El Jadida - Maroc
e-mail: elhachimi@ucd.ac.ma
Abdelilah Lamrani Alaoui
UFR Mathematiques Appliquees et Industrielles
Faculte des Sciences
B.P. 20, El Jadida - Maroc
e-mail: a_lamrani@hotmail.com

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