Electron. J. Diff. Eqns.,
Vol. 2009(2009), No. 75, pp. 1-8.
Eigencurves for a Steklov problem
Aomar Anane, Omar Chakrone, Belhadj Karim, Abdellah Zerouali
Abstract:
In this article, we study the existence of the eigencurves for
a Steklov problem and we obtain their variational formulation.
Also we prove the simplicity and the isolation results of each
point of the principal eigencurve. Also we obtain the continuity
and the differentiability of the principal eigencurve.
Submitted March 3, 2009. Published June 5, 2009.
Math Subject Classifications: 35J70, 35P30.
Key Words: Principal eigencurve; Steklov problem;
p-Laplacian; Sobolev trace embedding.
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Aomar Anane
Université Mohamed I, Faculté des Sciences
Département de Mathématiques et Informatique
Oujda, Maroc
email: ananeomar@yahoo.fr |
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Omar Chakrone
Université Mohamed I, Faculté des Sciences
Département de Mathématiques et Informatique
Oujda, Maroc
email: chakrone@yahoo.fr |
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Belhadj Karim
Université Mohamed I, Faculté des Sciences
Département de Mathématiques et Informatique
Oujda, Maroc
email: karembelf@hotmail.com |
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Abdellah Zerouali
Université Mohamed I, Faculté des Sciences
Département de Mathématiques et Informatique
Oujda, Maroc
email: abdellahzerouali@yahoo.fr |
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